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Finding the Fourth Proportional to 2,354, 3,248.52 and 1,306.13

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Solution

The fourth proportional to 2,354, 3,248.52 and 1,306.13 is: 1,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354 : 3,248.52 = 1,306.13 : x
  2. Step 2: Convert to fraction form
    2,354/3,248.52 = 1,306.13/x
  3. Step 3: Cross multiply
    2,354x = 3,248.52 × 1,306.13
  4. Step 4: Simplify right side
    2,354x = 4,242,989.43
  5. Step 5: Solve for x
    x = 4,242,989.43/2,354
  6. Step 6: Final answer
    x = 1,802.46

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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.