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Finding the Fourth Proportional to 1,505.25, 2,077.85 and 981.59

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Solution

The fourth proportional to 1,505.25, 2,077.85 and 981.59 is: 1,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.25 : 2,077.85 = 981.59 : x
  2. Step 2: Convert to fraction form
    1,505.25/2,077.85 = 981.59/x
  3. Step 3: Cross multiply
    1,505.25x = 2,077.85 × 981.59
  4. Step 4: Simplify right side
    1,505.25x = 2,039,588.85
  5. Step 5: Solve for x
    x = 2,039,588.85/1,505.25
  6. Step 6: Final answer
    x = 1,354.98

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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.