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Finding the Fourth Proportional to 2,286.72, 3,430.80 and 1,053.12

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Solution

The fourth proportional to 2,286.72, 3,430.80 and 1,053.12 is: 1,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.72 : 3,430.80 = 1,053.12 : x
  2. Step 2: Convert to fraction form
    2,286.72/3,430.80 = 1,053.12/x
  3. Step 3: Cross multiply
    2,286.72x = 3,430.80 × 1,053.12
  4. Step 4: Simplify right side
    2,286.72x = 3,613,044.10
  5. Step 5: Solve for x
    x = 3,613,044.10/2,286.72
  6. Step 6: Final answer
    x = 1,580.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.