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Finding the Fourth Proportional to 1,570.46, 2,354.30 and 1,340.82

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Solution

The fourth proportional to 1,570.46, 2,354.30 and 1,340.82 is: 2,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.46 : 2,354.30 = 1,340.82 : x
  2. Step 2: Convert to fraction form
    1,570.46/2,354.30 = 1,340.82/x
  3. Step 3: Cross multiply
    1,570.46x = 2,354.30 × 1,340.82
  4. Step 4: Simplify right side
    1,570.46x = 3,156,690.85
  5. Step 5: Solve for x
    x = 3,156,690.85/1,570.46
  6. Step 6: Final answer
    x = 2,010.05

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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.