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Finding the Fourth Proportional to 1,590.72, 2,190.24 and 1,354.20

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Solution

The fourth proportional to 1,590.72, 2,190.24 and 1,354.20 is: 1,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.72 : 2,190.24 = 1,354.20 : x
  2. Step 2: Convert to fraction form
    1,590.72/2,190.24 = 1,354.20/x
  3. Step 3: Cross multiply
    1,590.72x = 2,190.24 × 1,354.20
  4. Step 4: Simplify right side
    1,590.72x = 2,966,023.01
  5. Step 5: Solve for x
    x = 2,966,023.01/1,590.72
  6. Step 6: Final answer
    x = 1,864.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.