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Finding the Fourth Proportional to 2,034.88, 2,810 and 1,925.76

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Solution

The fourth proportional to 2,034.88, 2,810 and 1,925.76 is: 2,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.88 : 2,810 = 1,925.76 : x
  2. Step 2: Convert to fraction form
    2,034.88/2,810 = 1,925.76/x
  3. Step 3: Cross multiply
    2,034.88x = 2,810 × 1,925.76
  4. Step 4: Simplify right side
    2,034.88x = 5,411,385.60
  5. Step 5: Solve for x
    x = 5,411,385.60/2,034.88
  6. Step 6: Final answer
    x = 2,659.31

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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.