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Finding the Fourth Proportional to 2,618.16, 3,613.20 and 1,570.40

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Solution

The fourth proportional to 2,618.16, 3,613.20 and 1,570.40 is: 2,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.16 : 3,613.20 = 1,570.40 : x
  2. Step 2: Convert to fraction form
    2,618.16/3,613.20 = 1,570.40/x
  3. Step 3: Cross multiply
    2,618.16x = 3,613.20 × 1,570.40
  4. Step 4: Simplify right side
    2,618.16x = 5,674,169.28
  5. Step 5: Solve for x
    x = 5,674,169.28/2,618.16
  6. Step 6: Final answer
    x = 2,167.24

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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.