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Finding the Fourth Proportional to 2,357.48, 3,532.12 and 1,258.52

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Solution

The fourth proportional to 2,357.48, 3,532.12 and 1,258.52 is: 1,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.48 : 3,532.12 = 1,258.52 : x
  2. Step 2: Convert to fraction form
    2,357.48/3,532.12 = 1,258.52/x
  3. Step 3: Cross multiply
    2,357.48x = 3,532.12 × 1,258.52
  4. Step 4: Simplify right side
    2,357.48x = 4,445,222.86
  5. Step 5: Solve for x
    x = 4,445,222.86/2,357.48
  6. Step 6: Final answer
    x = 1,885.58

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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.