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Finding the Fourth Proportional to 2,101.48, 2,895.04 and 1,470.82

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Solution

The fourth proportional to 2,101.48, 2,895.04 and 1,470.82 is: 2,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.48 : 2,895.04 = 1,470.82 : x
  2. Step 2: Convert to fraction form
    2,101.48/2,895.04 = 1,470.82/x
  3. Step 3: Cross multiply
    2,101.48x = 2,895.04 × 1,470.82
  4. Step 4: Simplify right side
    2,101.48x = 4,258,082.73
  5. Step 5: Solve for x
    x = 4,258,082.73/2,101.48
  6. Step 6: Final answer
    x = 2,026.23

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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.