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Finding the Fourth Proportional to 1,305.42, 1,948.62 and 1,133.28

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Solution

The fourth proportional to 1,305.42, 1,948.62 and 1,133.28 is: 1,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.42 : 1,948.62 = 1,133.28 : x
  2. Step 2: Convert to fraction form
    1,305.42/1,948.62 = 1,133.28/x
  3. Step 3: Cross multiply
    1,305.42x = 1,948.62 × 1,133.28
  4. Step 4: Simplify right side
    1,305.42x = 2,208,332.07
  5. Step 5: Solve for x
    x = 2,208,332.07/1,305.42
  6. Step 6: Final answer
    x = 1,691.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.