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Finding the Fourth Proportional to 2,497.52, 3,746.49 and 853.40

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Solution

The fourth proportional to 2,497.52, 3,746.49 and 853.40 is: 1,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.52 : 3,746.49 = 853.40 : x
  2. Step 2: Convert to fraction form
    2,497.52/3,746.49 = 853.40/x
  3. Step 3: Cross multiply
    2,497.52x = 3,746.49 × 853.40
  4. Step 4: Simplify right side
    2,497.52x = 3,197,254.57
  5. Step 5: Solve for x
    x = 3,197,254.57/2,497.52
  6. Step 6: Final answer
    x = 1,280.17

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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.