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Finding the Fourth Proportional to 1,455.17, 2,180.64 and 675.41

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Solution

The fourth proportional to 1,455.17, 2,180.64 and 675.41 is: 1,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.17 : 2,180.64 = 675.41 : x
  2. Step 2: Convert to fraction form
    1,455.17/2,180.64 = 675.41/x
  3. Step 3: Cross multiply
    1,455.17x = 2,180.64 × 675.41
  4. Step 4: Simplify right side
    1,455.17x = 1,472,826.06
  5. Step 5: Solve for x
    x = 1,472,826.06/1,455.17
  6. Step 6: Final answer
    x = 1,012.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.