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Finding the Fourth Proportional to 2,502.74, 3,756.54 and 2,046.11

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Solution

The fourth proportional to 2,502.74, 3,756.54 and 2,046.11 is: 3,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.74 : 3,756.54 = 2,046.11 : x
  2. Step 2: Convert to fraction form
    2,502.74/3,756.54 = 2,046.11/x
  3. Step 3: Cross multiply
    2,502.74x = 3,756.54 × 2,046.11
  4. Step 4: Simplify right side
    2,502.74x = 7,686,275.28
  5. Step 5: Solve for x
    x = 7,686,275.28/2,502.74
  6. Step 6: Final answer
    x = 3,071.15

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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.