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Finding the Fourth Proportional to 1,590.72, 2,373.70 and 1,427.28

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Solution

The fourth proportional to 1,590.72, 2,373.70 and 1,427.28 is: 2,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.72 : 2,373.70 = 1,427.28 : x
  2. Step 2: Convert to fraction form
    1,590.72/2,373.70 = 1,427.28/x
  3. Step 3: Cross multiply
    1,590.72x = 2,373.70 × 1,427.28
  4. Step 4: Simplify right side
    1,590.72x = 3,387,934.54
  5. Step 5: Solve for x
    x = 3,387,934.54/1,590.72
  6. Step 6: Final answer
    x = 2,129.81

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