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Finding the Fourth Proportional to 1,566.36, 2,344.84 and 948.18

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Solution

The fourth proportional to 1,566.36, 2,344.84 and 948.18 is: 1,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.36 : 2,344.84 = 948.18 : x
  2. Step 2: Convert to fraction form
    1,566.36/2,344.84 = 948.18/x
  3. Step 3: Cross multiply
    1,566.36x = 2,344.84 × 948.18
  4. Step 4: Simplify right side
    1,566.36x = 2,223,330.39
  5. Step 5: Solve for x
    x = 2,223,330.39/1,566.36
  6. Step 6: Final answer
    x = 1,419.42

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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.