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Finding the Fourth Proportional to 1,613.40, 2,225.03 and 1,053.69

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Solution

The fourth proportional to 1,613.40, 2,225.03 and 1,053.69 is: 1,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.40 : 2,225.03 = 1,053.69 : x
  2. Step 2: Convert to fraction form
    1,613.40/2,225.03 = 1,053.69/x
  3. Step 3: Cross multiply
    1,613.40x = 2,225.03 × 1,053.69
  4. Step 4: Simplify right side
    1,613.40x = 2,344,486.59
  5. Step 5: Solve for x
    x = 2,344,486.59/1,613.40
  6. Step 6: Final answer
    x = 1,453.13

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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.