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Finding the Fourth Proportional to 1,595.38, 2,392.87 and 425.47

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Solution

The fourth proportional to 1,595.38, 2,392.87 and 425.47 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.38 : 2,392.87 = 425.47 : x
  2. Step 2: Convert to fraction form
    1,595.38/2,392.87 = 425.47/x
  3. Step 3: Cross multiply
    1,595.38x = 2,392.87 × 425.47
  4. Step 4: Simplify right side
    1,595.38x = 1,018,094.40
  5. Step 5: Solve for x
    x = 1,018,094.40/1,595.38
  6. Step 6: Final answer
    x = 638.15

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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.