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Finding the Fourth Proportional to 2,248.64, 3,370.08 and 948.32

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Solution

The fourth proportional to 2,248.64, 3,370.08 and 948.32 is: 1,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.64 : 3,370.08 = 948.32 : x
  2. Step 2: Convert to fraction form
    2,248.64/3,370.08 = 948.32/x
  3. Step 3: Cross multiply
    2,248.64x = 3,370.08 × 948.32
  4. Step 4: Simplify right side
    2,248.64x = 3,195,914.27
  5. Step 5: Solve for x
    x = 3,195,914.27/2,248.64
  6. Step 6: Final answer
    x = 1,421.27

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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.