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Finding the Fourth Proportional to 2,366.62, 3,551.44 and 1,587.50

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Solution

The fourth proportional to 2,366.62, 3,551.44 and 1,587.50 is: 2,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.62 : 3,551.44 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    2,366.62/3,551.44 = 1,587.50/x
  3. Step 3: Cross multiply
    2,366.62x = 3,551.44 × 1,587.50
  4. Step 4: Simplify right side
    2,366.62x = 5,637,911
  5. Step 5: Solve for x
    x = 5,637,911/2,366.62
  6. Step 6: Final answer
    x = 2,382.26

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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.