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Finding the Fourth Proportional to 3,130.67, 4,694.73 and 1,570.10

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Solution

The fourth proportional to 3,130.67, 4,694.73 and 1,570.10 is: 2,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.67 : 4,694.73 = 1,570.10 : x
  2. Step 2: Convert to fraction form
    3,130.67/4,694.73 = 1,570.10/x
  3. Step 3: Cross multiply
    3,130.67x = 4,694.73 × 1,570.10
  4. Step 4: Simplify right side
    3,130.67x = 7,371,195.57
  5. Step 5: Solve for x
    x = 7,371,195.57/3,130.67
  6. Step 6: Final answer
    x = 2,354.51

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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.