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Finding the Fourth Proportional to 2,068.25, 2,854.80 and 1,648.45

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Solution

The fourth proportional to 2,068.25, 2,854.80 and 1,648.45 is: 2,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.25 : 2,854.80 = 1,648.45 : x
  2. Step 2: Convert to fraction form
    2,068.25/2,854.80 = 1,648.45/x
  3. Step 3: Cross multiply
    2,068.25x = 2,854.80 × 1,648.45
  4. Step 4: Simplify right side
    2,068.25x = 4,706,005.00
  5. Step 5: Solve for x
    x = 4,706,005.00/2,068.25
  6. Step 6: Final answer
    x = 2,275.35

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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.