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Finding the Fourth Proportional to 3,140.98, 4,709.95 and 1,060.58

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Solution

The fourth proportional to 3,140.98, 4,709.95 and 1,060.58 is: 1,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.98 : 4,709.95 = 1,060.58 : x
  2. Step 2: Convert to fraction form
    3,140.98/4,709.95 = 1,060.58/x
  3. Step 3: Cross multiply
    3,140.98x = 4,709.95 × 1,060.58
  4. Step 4: Simplify right side
    3,140.98x = 4,995,278.77
  5. Step 5: Solve for x
    x = 4,995,278.77/3,140.98
  6. Step 6: Final answer
    x = 1,590.36

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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.