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Finding the Fourth Proportional to 2,353.07, 3,530.15 and 1,258.49

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Solution

The fourth proportional to 2,353.07, 3,530.15 and 1,258.49 is: 1,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.07 : 3,530.15 = 1,258.49 : x
  2. Step 2: Convert to fraction form
    2,353.07/3,530.15 = 1,258.49/x
  3. Step 3: Cross multiply
    2,353.07x = 3,530.15 × 1,258.49
  4. Step 4: Simplify right side
    2,353.07x = 4,442,658.47
  5. Step 5: Solve for x
    x = 4,442,658.47/2,353.07
  6. Step 6: Final answer
    x = 1,888.03

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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.