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Finding the Fourth Proportional to 1,415.57, 2,119.91 and 1,002.74

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Solution

The fourth proportional to 1,415.57, 2,119.91 and 1,002.74 is: 1,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.57 : 2,119.91 = 1,002.74 : x
  2. Step 2: Convert to fraction form
    1,415.57/2,119.91 = 1,002.74/x
  3. Step 3: Cross multiply
    1,415.57x = 2,119.91 × 1,002.74
  4. Step 4: Simplify right side
    1,415.57x = 2,125,702.94
  5. Step 5: Solve for x
    x = 2,125,702.94/1,415.57
  6. Step 6: Final answer
    x = 1,501.66

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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.