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Finding the Fourth Proportional to 1,507.65, 2,081.58 and 941.35

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Solution

The fourth proportional to 1,507.65, 2,081.58 and 941.35 is: 1,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.65 : 2,081.58 = 941.35 : x
  2. Step 2: Convert to fraction form
    1,507.65/2,081.58 = 941.35/x
  3. Step 3: Cross multiply
    1,507.65x = 2,081.58 × 941.35
  4. Step 4: Simplify right side
    1,507.65x = 1,959,494.40
  5. Step 5: Solve for x
    x = 1,959,494.40/1,507.65
  6. Step 6: Final answer
    x = 1,299.70

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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.