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Finding the Fourth Proportional to 2,384.10, 3,572.24 and 2,292.98

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Solution

The fourth proportional to 2,384.10, 3,572.24 and 2,292.98 is: 3,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.10 : 3,572.24 = 2,292.98 : x
  2. Step 2: Convert to fraction form
    2,384.10/3,572.24 = 2,292.98/x
  3. Step 3: Cross multiply
    2,384.10x = 3,572.24 × 2,292.98
  4. Step 4: Simplify right side
    2,384.10x = 8,191,045.55
  5. Step 5: Solve for x
    x = 8,191,045.55/2,384.10
  6. Step 6: Final answer
    x = 3,435.70

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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.