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Finding the Fourth Proportional to 1,505.01, 2,256.69 and 838.11

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Solution

The fourth proportional to 1,505.01, 2,256.69 and 838.11 is: 1,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.01 : 2,256.69 = 838.11 : x
  2. Step 2: Convert to fraction form
    1,505.01/2,256.69 = 838.11/x
  3. Step 3: Cross multiply
    1,505.01x = 2,256.69 × 838.11
  4. Step 4: Simplify right side
    1,505.01x = 1,891,339.95
  5. Step 5: Solve for x
    x = 1,891,339.95/1,505.01
  6. Step 6: Final answer
    x = 1,256.70

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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.