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Finding the Fourth Proportional to 3,085.83, 4,258.71 and 1,760.00

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Solution

The fourth proportional to 3,085.83, 4,258.71 and 1,760.00 is: 2,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.83 : 4,258.71 = 1,760.00 : x
  2. Step 2: Convert to fraction form
    3,085.83/4,258.71 = 1,760.00/x
  3. Step 3: Cross multiply
    3,085.83x = 4,258.71 × 1,760.00
  4. Step 4: Simplify right side
    3,085.83x = 7,495,308.31
  5. Step 5: Solve for x
    x = 7,495,308.31/3,085.83
  6. Step 6: Final answer
    x = 2,428.94

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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.