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Finding the Fourth Proportional to 2,282.64, 3,417.84 and 1,587.84

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Solution

The fourth proportional to 2,282.64, 3,417.84 and 1,587.84 is: 2,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.64 : 3,417.84 = 1,587.84 : x
  2. Step 2: Convert to fraction form
    2,282.64/3,417.84 = 1,587.84/x
  3. Step 3: Cross multiply
    2,282.64x = 3,417.84 × 1,587.84
  4. Step 4: Simplify right side
    2,282.64x = 5,426,983.07
  5. Step 5: Solve for x
    x = 5,426,983.07/2,282.64
  6. Step 6: Final answer
    x = 2,377.50

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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.