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Finding the Fourth Proportional to 1,505.18, 2,074.99 and 1,256.10

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Solution

The fourth proportional to 1,505.18, 2,074.99 and 1,256.10 is: 1,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.18 : 2,074.99 = 1,256.10 : x
  2. Step 2: Convert to fraction form
    1,505.18/2,074.99 = 1,256.10/x
  3. Step 3: Cross multiply
    1,505.18x = 2,074.99 × 1,256.10
  4. Step 4: Simplify right side
    1,505.18x = 2,606,391.80
  5. Step 5: Solve for x
    x = 2,606,391.80/1,505.18
  6. Step 6: Final answer
    x = 1,731.62

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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.