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Finding the Fourth Proportional to 2,010.08, 2,773.76 and 1,264

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Solution

The fourth proportional to 2,010.08, 2,773.76 and 1,264 is: 1,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.08 : 2,773.76 = 1,264 : x
  2. Step 2: Convert to fraction form
    2,010.08/2,773.76 = 1,264/x
  3. Step 3: Cross multiply
    2,010.08x = 2,773.76 × 1,264
  4. Step 4: Simplify right side
    2,010.08x = 3,506,032.64
  5. Step 5: Solve for x
    x = 3,506,032.64/2,010.08
  6. Step 6: Final answer
    x = 1,744.23

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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.