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Finding the Fourth Proportional to 1,570.32, 2,166.76 and 1,018

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Solution

The fourth proportional to 1,570.32, 2,166.76 and 1,018 is: 1,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.32 : 2,166.76 = 1,018 : x
  2. Step 2: Convert to fraction form
    1,570.32/2,166.76 = 1,018/x
  3. Step 3: Cross multiply
    1,570.32x = 2,166.76 × 1,018
  4. Step 4: Simplify right side
    1,570.32x = 2,205,761.68
  5. Step 5: Solve for x
    x = 2,205,761.68/1,570.32
  6. Step 6: Final answer
    x = 1,404.66

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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.