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Finding the Fourth Proportional to 1,570.24, 2,167.32 and 981.44

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Solution

The fourth proportional to 1,570.24, 2,167.32 and 981.44 is: 1,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.24 : 2,167.32 = 981.44 : x
  2. Step 2: Convert to fraction form
    1,570.24/2,167.32 = 981.44/x
  3. Step 3: Cross multiply
    1,570.24x = 2,167.32 × 981.44
  4. Step 4: Simplify right side
    1,570.24x = 2,127,094.54
  5. Step 5: Solve for x
    x = 2,127,094.54/1,570.24
  6. Step 6: Final answer
    x = 1,354.63

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