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Finding the Fourth Proportional to 2,306.64, 3,454.38 and 1,614

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Solution

The fourth proportional to 2,306.64, 3,454.38 and 1,614 is: 2,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.64 : 3,454.38 = 1,614 : x
  2. Step 2: Convert to fraction form
    2,306.64/3,454.38 = 1,614/x
  3. Step 3: Cross multiply
    2,306.64x = 3,454.38 × 1,614
  4. Step 4: Simplify right side
    2,306.64x = 5,575,369.32
  5. Step 5: Solve for x
    x = 5,575,369.32/2,306.64
  6. Step 6: Final answer
    x = 2,417.10

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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.