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Finding the Fourth Proportional to 1,710.08, 2,360 and 974.08

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Solution

The fourth proportional to 1,710.08, 2,360 and 974.08 is: 1,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.08 : 2,360 = 974.08 : x
  2. Step 2: Convert to fraction form
    1,710.08/2,360 = 974.08/x
  3. Step 3: Cross multiply
    1,710.08x = 2,360 × 974.08
  4. Step 4: Simplify right side
    1,710.08x = 2,298,828.80
  5. Step 5: Solve for x
    x = 2,298,828.80/1,710.08
  6. Step 6: Final answer
    x = 1,344.28

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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.