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Finding the Fourth Proportional to 2,502.84, 3,454.29 and 1,454.70

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Solution

The fourth proportional to 2,502.84, 3,454.29 and 1,454.70 is: 2,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.84 : 3,454.29 = 1,454.70 : x
  2. Step 2: Convert to fraction form
    2,502.84/3,454.29 = 1,454.70/x
  3. Step 3: Cross multiply
    2,502.84x = 3,454.29 × 1,454.70
  4. Step 4: Simplify right side
    2,502.84x = 5,024,955.66
  5. Step 5: Solve for x
    x = 5,024,955.66/2,502.84
  6. Step 6: Final answer
    x = 2,007.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.