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Finding the Fourth Proportional to 2,302.64, 3,178.82 and 1,560.52

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Solution

The fourth proportional to 2,302.64, 3,178.82 and 1,560.52 is: 2,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.64 : 3,178.82 = 1,560.52 : x
  2. Step 2: Convert to fraction form
    2,302.64/3,178.82 = 1,560.52/x
  3. Step 3: Cross multiply
    2,302.64x = 3,178.82 × 1,560.52
  4. Step 4: Simplify right side
    2,302.64x = 4,960,612.19
  5. Step 5: Solve for x
    x = 4,960,612.19/2,302.64
  6. Step 6: Final answer
    x = 2,154.32

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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.