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Finding the Fourth Proportional to 1,609.55, 2,411.65 and 1,023.51

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Solution

The fourth proportional to 1,609.55, 2,411.65 and 1,023.51 is: 1,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.55 : 2,411.65 = 1,023.51 : x
  2. Step 2: Convert to fraction form
    1,609.55/2,411.65 = 1,023.51/x
  3. Step 3: Cross multiply
    1,609.55x = 2,411.65 × 1,023.51
  4. Step 4: Simplify right side
    1,609.55x = 2,468,347.89
  5. Step 5: Solve for x
    x = 2,468,347.89/1,609.55
  6. Step 6: Final answer
    x = 1,533.56

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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.