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Finding the Fourth Proportional to 1,385.67, 2,075.78 and 1,039.40

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Solution

The fourth proportional to 1,385.67, 2,075.78 and 1,039.40 is: 1,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.67 : 2,075.78 = 1,039.40 : x
  2. Step 2: Convert to fraction form
    1,385.67/2,075.78 = 1,039.40/x
  3. Step 3: Cross multiply
    1,385.67x = 2,075.78 × 1,039.40
  4. Step 4: Simplify right side
    1,385.67x = 2,157,559.89
  5. Step 5: Solve for x
    x = 2,157,559.89/1,385.67
  6. Step 6: Final answer
    x = 1,557.05

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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.