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Finding the Fourth Proportional to 2,145.65, 2,961.72 and 1,261.71

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Solution

The fourth proportional to 2,145.65, 2,961.72 and 1,261.71 is: 1,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.65 : 2,961.72 = 1,261.71 : x
  2. Step 2: Convert to fraction form
    2,145.65/2,961.72 = 1,261.71/x
  3. Step 3: Cross multiply
    2,145.65x = 2,961.72 × 1,261.71
  4. Step 4: Simplify right side
    2,145.65x = 3,736,831.74
  5. Step 5: Solve for x
    x = 3,736,831.74/2,145.65
  6. Step 6: Final answer
    x = 1,741.59

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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.