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Finding the Fourth Proportional to 1,597.76, 2,379.28 and 1,592

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Solution

The fourth proportional to 1,597.76, 2,379.28 and 1,592 is: 2,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.76 : 2,379.28 = 1,592 : x
  2. Step 2: Convert to fraction form
    1,597.76/2,379.28 = 1,592/x
  3. Step 3: Cross multiply
    1,597.76x = 2,379.28 × 1,592
  4. Step 4: Simplify right side
    1,597.76x = 3,787,813.76
  5. Step 5: Solve for x
    x = 3,787,813.76/1,597.76
  6. Step 6: Final answer
    x = 2,370.70

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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.