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Finding the Fourth Proportional to 1,593.39, 2,377.28 and 1,417.98

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Solution

The fourth proportional to 1,593.39, 2,377.28 and 1,417.98 is: 2,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.39 : 2,377.28 = 1,417.98 : x
  2. Step 2: Convert to fraction form
    1,593.39/2,377.28 = 1,417.98/x
  3. Step 3: Cross multiply
    1,593.39x = 2,377.28 × 1,417.98
  4. Step 4: Simplify right side
    1,593.39x = 3,370,935.49
  5. Step 5: Solve for x
    x = 3,370,935.49/1,593.39
  6. Step 6: Final answer
    x = 2,115.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.