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Finding the Fourth Proportional to 1,345.41, 1,857.48 and 1,066.77

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Solution

The fourth proportional to 1,345.41, 1,857.48 and 1,066.77 is: 1,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.41 : 1,857.48 = 1,066.77 : x
  2. Step 2: Convert to fraction form
    1,345.41/1,857.48 = 1,066.77/x
  3. Step 3: Cross multiply
    1,345.41x = 1,857.48 × 1,066.77
  4. Step 4: Simplify right side
    1,345.41x = 1,981,503.94
  5. Step 5: Solve for x
    x = 1,981,503.94/1,345.41
  6. Step 6: Final answer
    x = 1,472.79

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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.