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Finding the Fourth Proportional to 1,400.46, 1,931.16 and 1,202.02

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Solution

The fourth proportional to 1,400.46, 1,931.16 and 1,202.02 is: 1,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.46 : 1,931.16 = 1,202.02 : x
  2. Step 2: Convert to fraction form
    1,400.46/1,931.16 = 1,202.02/x
  3. Step 3: Cross multiply
    1,400.46x = 1,931.16 × 1,202.02
  4. Step 4: Simplify right side
    1,400.46x = 2,321,292.94
  5. Step 5: Solve for x
    x = 2,321,292.94/1,400.46
  6. Step 6: Final answer
    x = 1,657.52

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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.