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Finding the Fourth Proportional to 2,618.70, 3,612.29 and 1,570.15

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Solution

The fourth proportional to 2,618.70, 3,612.29 and 1,570.15 is: 2,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.70 : 3,612.29 = 1,570.15 : x
  2. Step 2: Convert to fraction form
    2,618.70/3,612.29 = 1,570.15/x
  3. Step 3: Cross multiply
    2,618.70x = 3,612.29 × 1,570.15
  4. Step 4: Simplify right side
    2,618.70x = 5,671,837.14
  5. Step 5: Solve for x
    x = 5,671,837.14/2,618.70
  6. Step 6: Final answer
    x = 2,165.90

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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.