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Finding the Fourth Proportional to 2,435.76, 3,656.88 and 1,138.14

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Solution

The fourth proportional to 2,435.76, 3,656.88 and 1,138.14 is: 1,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.76 : 3,656.88 = 1,138.14 : x
  2. Step 2: Convert to fraction form
    2,435.76/3,656.88 = 1,138.14/x
  3. Step 3: Cross multiply
    2,435.76x = 3,656.88 × 1,138.14
  4. Step 4: Simplify right side
    2,435.76x = 4,162,041.40
  5. Step 5: Solve for x
    x = 4,162,041.40/2,435.76
  6. Step 6: Final answer
    x = 1,708.72

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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.