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Finding the Fourth Proportional to 2,023.48, 3,032.94 and 925.58

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Solution

The fourth proportional to 2,023.48, 3,032.94 and 925.58 is: 1,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.48 : 3,032.94 = 925.58 : x
  2. Step 2: Convert to fraction form
    2,023.48/3,032.94 = 925.58/x
  3. Step 3: Cross multiply
    2,023.48x = 3,032.94 × 925.58
  4. Step 4: Simplify right side
    2,023.48x = 2,807,222.60
  5. Step 5: Solve for x
    x = 2,807,222.60/2,023.48
  6. Step 6: Final answer
    x = 1,387.32

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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.