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Finding the Fourth Proportional to 1,570.14, 2,357.51 and 878.16

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Solution

The fourth proportional to 1,570.14, 2,357.51 and 878.16 is: 1,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.14 : 2,357.51 = 878.16 : x
  2. Step 2: Convert to fraction form
    1,570.14/2,357.51 = 878.16/x
  3. Step 3: Cross multiply
    1,570.14x = 2,357.51 × 878.16
  4. Step 4: Simplify right side
    1,570.14x = 2,070,270.98
  5. Step 5: Solve for x
    x = 2,070,270.98/1,570.14
  6. Step 6: Final answer
    x = 1,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.