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Finding the Fourth Proportional to 1,385.89, 2,080.65 and 975.22

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Solution

The fourth proportional to 1,385.89, 2,080.65 and 975.22 is: 1,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.89 : 2,080.65 = 975.22 : x
  2. Step 2: Convert to fraction form
    1,385.89/2,080.65 = 975.22/x
  3. Step 3: Cross multiply
    1,385.89x = 2,080.65 × 975.22
  4. Step 4: Simplify right side
    1,385.89x = 2,029,091.49
  5. Step 5: Solve for x
    x = 2,029,091.49/1,385.89
  6. Step 6: Final answer
    x = 1,464.11

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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.