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Finding the Fourth Proportional to 2,613.36, 3,920.06 and 948.66

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Solution

The fourth proportional to 2,613.36, 3,920.06 and 948.66 is: 1,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.36 : 3,920.06 = 948.66 : x
  2. Step 2: Convert to fraction form
    2,613.36/3,920.06 = 948.66/x
  3. Step 3: Cross multiply
    2,613.36x = 3,920.06 × 948.66
  4. Step 4: Simplify right side
    2,613.36x = 3,718,804.12
  5. Step 5: Solve for x
    x = 3,718,804.12/2,613.36
  6. Step 6: Final answer
    x = 1,423.00

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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.