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Finding the Fourth Proportional to 1,507.87, 2,081.37 and 910.69

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Solution

The fourth proportional to 1,507.87, 2,081.37 and 910.69 is: 1,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.87 : 2,081.37 = 910.69 : x
  2. Step 2: Convert to fraction form
    1,507.87/2,081.37 = 910.69/x
  3. Step 3: Cross multiply
    1,507.87x = 2,081.37 × 910.69
  4. Step 4: Simplify right side
    1,507.87x = 1,895,490.20
  5. Step 5: Solve for x
    x = 1,895,490.20/1,507.87
  6. Step 6: Final answer
    x = 1,257.07

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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.