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Finding the Fourth Proportional to 1,442.13, 1,990.32 and 945.18

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Solution

The fourth proportional to 1,442.13, 1,990.32 and 945.18 is: 1,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.13 : 1,990.32 = 945.18 : x
  2. Step 2: Convert to fraction form
    1,442.13/1,990.32 = 945.18/x
  3. Step 3: Cross multiply
    1,442.13x = 1,990.32 × 945.18
  4. Step 4: Simplify right side
    1,442.13x = 1,881,210.66
  5. Step 5: Solve for x
    x = 1,881,210.66/1,442.13
  6. Step 6: Final answer
    x = 1,304.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.