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Finding the Fourth Proportional to 1,683.95, 2,530.47 and 904.52

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Solution

The fourth proportional to 1,683.95, 2,530.47 and 904.52 is: 1,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.95 : 2,530.47 = 904.52 : x
  2. Step 2: Convert to fraction form
    1,683.95/2,530.47 = 904.52/x
  3. Step 3: Cross multiply
    1,683.95x = 2,530.47 × 904.52
  4. Step 4: Simplify right side
    1,683.95x = 2,288,870.44
  5. Step 5: Solve for x
    x = 2,288,870.44/1,683.95
  6. Step 6: Final answer
    x = 1,359.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.