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Finding the Fourth Proportional to 2,308.76, 3,462.33 and 1,009.52

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Solution

The fourth proportional to 2,308.76, 3,462.33 and 1,009.52 is: 1,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.76 : 3,462.33 = 1,009.52 : x
  2. Step 2: Convert to fraction form
    2,308.76/3,462.33 = 1,009.52/x
  3. Step 3: Cross multiply
    2,308.76x = 3,462.33 × 1,009.52
  4. Step 4: Simplify right side
    2,308.76x = 3,495,291.38
  5. Step 5: Solve for x
    x = 3,495,291.38/2,308.76
  6. Step 6: Final answer
    x = 1,513.93

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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.