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Finding the Fourth Proportional to 1,710.68, 2,362.02 and 1,683.44

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Solution

The fourth proportional to 1,710.68, 2,362.02 and 1,683.44 is: 2,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.68 : 2,362.02 = 1,683.44 : x
  2. Step 2: Convert to fraction form
    1,710.68/2,362.02 = 1,683.44/x
  3. Step 3: Cross multiply
    1,710.68x = 2,362.02 × 1,683.44
  4. Step 4: Simplify right side
    1,710.68x = 3,976,307.14
  5. Step 5: Solve for x
    x = 3,976,307.14/1,710.68
  6. Step 6: Final answer
    x = 2,324.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.