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Finding the Fourth Proportional to 1,618.70, 2,412.66 and 1,526.43

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Solution

The fourth proportional to 1,618.70, 2,412.66 and 1,526.43 is: 2,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.70 : 2,412.66 = 1,526.43 : x
  2. Step 2: Convert to fraction form
    1,618.70/2,412.66 = 1,526.43/x
  3. Step 3: Cross multiply
    1,618.70x = 2,412.66 × 1,526.43
  4. Step 4: Simplify right side
    1,618.70x = 3,682,756.60
  5. Step 5: Solve for x
    x = 3,682,756.60/1,618.70
  6. Step 6: Final answer
    x = 2,275.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.