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Finding the Fourth Proportional to 1,710.77, 2,565 and 1,382.11

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Solution

The fourth proportional to 1,710.77, 2,565 and 1,382.11 is: 2,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.77 : 2,565 = 1,382.11 : x
  2. Step 2: Convert to fraction form
    1,710.77/2,565 = 1,382.11/x
  3. Step 3: Cross multiply
    1,710.77x = 2,565 × 1,382.11
  4. Step 4: Simplify right side
    1,710.77x = 3,545,105.74
  5. Step 5: Solve for x
    x = 3,545,105.74/1,710.77
  6. Step 6: Final answer
    x = 2,072.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.