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Finding the Fourth Proportional to 2,409.93, 3,613.52 and 948.28

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Solution

The fourth proportional to 2,409.93, 3,613.52 and 948.28 is: 1,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.93 : 3,613.52 = 948.28 : x
  2. Step 2: Convert to fraction form
    2,409.93/3,613.52 = 948.28/x
  3. Step 3: Cross multiply
    2,409.93x = 3,613.52 × 948.28
  4. Step 4: Simplify right side
    2,409.93x = 3,426,628.75
  5. Step 5: Solve for x
    x = 3,426,628.75/2,409.93
  6. Step 6: Final answer
    x = 1,421.88

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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.