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Finding the Fourth Proportional to 1,821.71, 2,513.87 and 1,075.70

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Solution

The fourth proportional to 1,821.71, 2,513.87 and 1,075.70 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.71 : 2,513.87 = 1,075.70 : x
  2. Step 2: Convert to fraction form
    1,821.71/2,513.87 = 1,075.70/x
  3. Step 3: Cross multiply
    1,821.71x = 2,513.87 × 1,075.70
  4. Step 4: Simplify right side
    1,821.71x = 2,704,169.96
  5. Step 5: Solve for x
    x = 2,704,169.96/1,821.71
  6. Step 6: Final answer
    x = 1,484.41

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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.