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Finding the Fourth Proportional to 2,275.10, 3,412.65 and 814.40

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Solution

The fourth proportional to 2,275.10, 3,412.65 and 814.40 is: 1,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.10 : 3,412.65 = 814.40 : x
  2. Step 2: Convert to fraction form
    2,275.10/3,412.65 = 814.40/x
  3. Step 3: Cross multiply
    2,275.10x = 3,412.65 × 814.40
  4. Step 4: Simplify right side
    2,275.10x = 2,779,262.16
  5. Step 5: Solve for x
    x = 2,779,262.16/2,275.10
  6. Step 6: Final answer
    x = 1,221.60

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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.