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Finding the Fourth Proportional to 1,315.59, 1,814.73 and 961.08

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Solution

The fourth proportional to 1,315.59, 1,814.73 and 961.08 is: 1,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.59 : 1,814.73 = 961.08 : x
  2. Step 2: Convert to fraction form
    1,315.59/1,814.73 = 961.08/x
  3. Step 3: Cross multiply
    1,315.59x = 1,814.73 × 961.08
  4. Step 4: Simplify right side
    1,315.59x = 1,744,100.66
  5. Step 5: Solve for x
    x = 1,744,100.66/1,315.59
  6. Step 6: Final answer
    x = 1,325.72

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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.