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Finding the Fourth Proportional to 1,762.47, 2,429.39 and 1,314.13

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Solution

The fourth proportional to 1,762.47, 2,429.39 and 1,314.13 is: 1,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.47 : 2,429.39 = 1,314.13 : x
  2. Step 2: Convert to fraction form
    1,762.47/2,429.39 = 1,314.13/x
  3. Step 3: Cross multiply
    1,762.47x = 2,429.39 × 1,314.13
  4. Step 4: Simplify right side
    1,762.47x = 3,192,534.28
  5. Step 5: Solve for x
    x = 3,192,534.28/1,762.47
  6. Step 6: Final answer
    x = 1,811.40

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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.