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Finding the Fourth Proportional to 2,073.47, 3,110.29 and 686.93

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Solution

The fourth proportional to 2,073.47, 3,110.29 and 686.93 is: 1,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.47 : 3,110.29 = 686.93 : x
  2. Step 2: Convert to fraction form
    2,073.47/3,110.29 = 686.93/x
  3. Step 3: Cross multiply
    2,073.47x = 3,110.29 × 686.93
  4. Step 4: Simplify right side
    2,073.47x = 2,136,534.24
  5. Step 5: Solve for x
    x = 2,136,534.24/2,073.47
  6. Step 6: Final answer
    x = 1,030.42

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