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Finding the Fourth Proportional to 1,400.23, 2,101.64 and 707.38

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Solution

The fourth proportional to 1,400.23, 2,101.64 and 707.38 is: 1,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.23 : 2,101.64 = 707.38 : x
  2. Step 2: Convert to fraction form
    1,400.23/2,101.64 = 707.38/x
  3. Step 3: Cross multiply
    1,400.23x = 2,101.64 × 707.38
  4. Step 4: Simplify right side
    1,400.23x = 1,486,660.17
  5. Step 5: Solve for x
    x = 1,486,660.17/1,400.23
  6. Step 6: Final answer
    x = 1,061.73

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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.