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Finding the Fourth Proportional to 1,929.67, 2,877.56 and 1,912.13

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Solution

The fourth proportional to 1,929.67, 2,877.56 and 1,912.13 is: 2,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.67 : 2,877.56 = 1,912.13 : x
  2. Step 2: Convert to fraction form
    1,929.67/2,877.56 = 1,912.13/x
  3. Step 3: Cross multiply
    1,929.67x = 2,877.56 × 1,912.13
  4. Step 4: Simplify right side
    1,929.67x = 5,502,262.82
  5. Step 5: Solve for x
    x = 5,502,262.82/1,929.67
  6. Step 6: Final answer
    x = 2,851.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.