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Finding the Fourth Proportional to 2,570.15, 3,855.75 and 926.70

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Solution

The fourth proportional to 2,570.15, 3,855.75 and 926.70 is: 1,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.15 : 3,855.75 = 926.70 : x
  2. Step 2: Convert to fraction form
    2,570.15/3,855.75 = 926.70/x
  3. Step 3: Cross multiply
    2,570.15x = 3,855.75 × 926.70
  4. Step 4: Simplify right side
    2,570.15x = 3,573,123.53
  5. Step 5: Solve for x
    x = 3,573,123.53/2,570.15
  6. Step 6: Final answer
    x = 1,390.24

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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.