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Finding the Fourth Proportional to 1,586.03, 2,377.22 and 1,294.13

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Solution

The fourth proportional to 1,586.03, 2,377.22 and 1,294.13 is: 1,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.03 : 2,377.22 = 1,294.13 : x
  2. Step 2: Convert to fraction form
    1,586.03/2,377.22 = 1,294.13/x
  3. Step 3: Cross multiply
    1,586.03x = 2,377.22 × 1,294.13
  4. Step 4: Simplify right side
    1,586.03x = 3,076,428.74
  5. Step 5: Solve for x
    x = 3,076,428.74/1,586.03
  6. Step 6: Final answer
    x = 1,939.70

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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.