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Finding the Fourth Proportional to 1,782.38, 2,655.81 and 1,588.40

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Solution

The fourth proportional to 1,782.38, 2,655.81 and 1,588.40 is: 2,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.38 : 2,655.81 = 1,588.40 : x
  2. Step 2: Convert to fraction form
    1,782.38/2,655.81 = 1,588.40/x
  3. Step 3: Cross multiply
    1,782.38x = 2,655.81 × 1,588.40
  4. Step 4: Simplify right side
    1,782.38x = 4,218,480.66
  5. Step 5: Solve for x
    x = 4,218,480.66/1,782.38
  6. Step 6: Final answer
    x = 2,366.77

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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.