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Finding the Fourth Proportional to 2,490.95, 3,733.89 and 1,567.16

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Solution

The fourth proportional to 2,490.95, 3,733.89 and 1,567.16 is: 2,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.95 : 3,733.89 = 1,567.16 : x
  2. Step 2: Convert to fraction form
    2,490.95/3,733.89 = 1,567.16/x
  3. Step 3: Cross multiply
    2,490.95x = 3,733.89 × 1,567.16
  4. Step 4: Simplify right side
    2,490.95x = 5,851,584.38
  5. Step 5: Solve for x
    x = 5,851,584.38/2,490.95
  6. Step 6: Final answer
    x = 2,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.