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Finding the Fourth Proportional to 1,455.19, 2,182.47 and 415.18

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Solution

The fourth proportional to 1,455.19, 2,182.47 and 415.18 is: 622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.19 : 2,182.47 = 415.18 : x
  2. Step 2: Convert to fraction form
    1,455.19/2,182.47 = 415.18/x
  3. Step 3: Cross multiply
    1,455.19x = 2,182.47 × 415.18
  4. Step 4: Simplify right side
    1,455.19x = 906,117.89
  5. Step 5: Solve for x
    x = 906,117.89/1,455.19
  6. Step 6: Final answer
    x = 622.68

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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.