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Finding the Fourth Proportional to 1,528.55, 2,291.81 and 788.61

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Solution

The fourth proportional to 1,528.55, 2,291.81 and 788.61 is: 1,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.55 : 2,291.81 = 788.61 : x
  2. Step 2: Convert to fraction form
    1,528.55/2,291.81 = 788.61/x
  3. Step 3: Cross multiply
    1,528.55x = 2,291.81 × 788.61
  4. Step 4: Simplify right side
    1,528.55x = 1,807,340.34
  5. Step 5: Solve for x
    x = 1,807,340.34/1,528.55
  6. Step 6: Final answer
    x = 1,182.39

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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.