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Finding the Fourth Proportional to 1,455.74, 2,184.82 and 1,017.12

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Solution

The fourth proportional to 1,455.74, 2,184.82 and 1,017.12 is: 1,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.74 : 2,184.82 = 1,017.12 : x
  2. Step 2: Convert to fraction form
    1,455.74/2,184.82 = 1,017.12/x
  3. Step 3: Cross multiply
    1,455.74x = 2,184.82 × 1,017.12
  4. Step 4: Simplify right side
    1,455.74x = 2,222,224.12
  5. Step 5: Solve for x
    x = 2,222,224.12/1,455.74
  6. Step 6: Final answer
    x = 1,526.53

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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.