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Finding the Fourth Proportional to 1,852.57, 2,557.07 and 1,066.93

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Solution

The fourth proportional to 1,852.57, 2,557.07 and 1,066.93 is: 1,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.57 : 2,557.07 = 1,066.93 : x
  2. Step 2: Convert to fraction form
    1,852.57/2,557.07 = 1,066.93/x
  3. Step 3: Cross multiply
    1,852.57x = 2,557.07 × 1,066.93
  4. Step 4: Simplify right side
    1,852.57x = 2,728,209.36
  5. Step 5: Solve for x
    x = 2,728,209.36/1,852.57
  6. Step 6: Final answer
    x = 1,472.66

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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.