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Finding the Fourth Proportional to 1,566.44, 2,329.16 and 1,500.83

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Solution

The fourth proportional to 1,566.44, 2,329.16 and 1,500.83 is: 2,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.44 : 2,329.16 = 1,500.83 : x
  2. Step 2: Convert to fraction form
    1,566.44/2,329.16 = 1,500.83/x
  3. Step 3: Cross multiply
    1,566.44x = 2,329.16 × 1,500.83
  4. Step 4: Simplify right side
    1,566.44x = 3,495,662.79
  5. Step 5: Solve for x
    x = 3,495,662.79/1,566.44
  6. Step 6: Final answer
    x = 2,231.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.