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Finding the Fourth Proportional to 1,648.84, 2,271.50 and 1,150.58

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Solution

The fourth proportional to 1,648.84, 2,271.50 and 1,150.58 is: 1,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.84 : 2,271.50 = 1,150.58 : x
  2. Step 2: Convert to fraction form
    1,648.84/2,271.50 = 1,150.58/x
  3. Step 3: Cross multiply
    1,648.84x = 2,271.50 × 1,150.58
  4. Step 4: Simplify right side
    1,648.84x = 2,613,542.47
  5. Step 5: Solve for x
    x = 2,613,542.47/1,648.84
  6. Step 6: Final answer
    x = 1,585.08

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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.