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Finding the Fourth Proportional to 1,877.46, 2,814.24 and 707.23

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Solution

The fourth proportional to 1,877.46, 2,814.24 and 707.23 is: 1,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.46 : 2,814.24 = 707.23 : x
  2. Step 2: Convert to fraction form
    1,877.46/2,814.24 = 707.23/x
  3. Step 3: Cross multiply
    1,877.46x = 2,814.24 × 707.23
  4. Step 4: Simplify right side
    1,877.46x = 1,990,314.96
  5. Step 5: Solve for x
    x = 1,990,314.96/1,877.46
  6. Step 6: Final answer
    x = 1,060.11

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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.