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Finding the Fourth Proportional to 1,570.76, 2,165.30 and 1,046.60

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Solution

The fourth proportional to 1,570.76, 2,165.30 and 1,046.60 is: 1,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.76 : 2,165.30 = 1,046.60 : x
  2. Step 2: Convert to fraction form
    1,570.76/2,165.30 = 1,046.60/x
  3. Step 3: Cross multiply
    1,570.76x = 2,165.30 × 1,046.60
  4. Step 4: Simplify right side
    1,570.76x = 2,266,202.98
  5. Step 5: Solve for x
    x = 2,266,202.98/1,570.76
  6. Step 6: Final answer
    x = 1,442.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.