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Finding the Fourth Proportional to 2,476.68, 3,417.80 and 1,357.66

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Solution

The fourth proportional to 2,476.68, 3,417.80 and 1,357.66 is: 1,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.68 : 3,417.80 = 1,357.66 : x
  2. Step 2: Convert to fraction form
    2,476.68/3,417.80 = 1,357.66/x
  3. Step 3: Cross multiply
    2,476.68x = 3,417.80 × 1,357.66
  4. Step 4: Simplify right side
    2,476.68x = 4,640,207.83
  5. Step 5: Solve for x
    x = 4,640,207.83/2,476.68
  6. Step 6: Final answer
    x = 1,873.56

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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.