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Finding the Fourth Proportional to 1,931.72, 2,897.69 and 699.26

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Solution

The fourth proportional to 1,931.72, 2,897.69 and 699.26 is: 1,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.72 : 2,897.69 = 699.26 : x
  2. Step 2: Convert to fraction form
    1,931.72/2,897.69 = 699.26/x
  3. Step 3: Cross multiply
    1,931.72x = 2,897.69 × 699.26
  4. Step 4: Simplify right side
    1,931.72x = 2,026,220.72
  5. Step 5: Solve for x
    x = 2,026,220.72/1,931.72
  6. Step 6: Final answer
    x = 1,048.92

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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.