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Finding the Fourth Proportional to 1,613.58, 2,223.63 and 1,088.70

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Solution

The fourth proportional to 1,613.58, 2,223.63 and 1,088.70 is: 1,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.58 : 2,223.63 = 1,088.70 : x
  2. Step 2: Convert to fraction form
    1,613.58/2,223.63 = 1,088.70/x
  3. Step 3: Cross multiply
    1,613.58x = 2,223.63 × 1,088.70
  4. Step 4: Simplify right side
    1,613.58x = 2,420,865.98
  5. Step 5: Solve for x
    x = 2,420,865.98/1,613.58
  6. Step 6: Final answer
    x = 1,500.31

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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.