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Finding the Fourth Proportional to 4,498.46, 6,746.86 and 1,210.78

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Solution

The fourth proportional to 4,498.46, 6,746.86 and 1,210.78 is: 1,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.46 : 6,746.86 = 1,210.78 : x
  2. Step 2: Convert to fraction form
    4,498.46/6,746.86 = 1,210.78/x
  3. Step 3: Cross multiply
    4,498.46x = 6,746.86 × 1,210.78
  4. Step 4: Simplify right side
    4,498.46x = 8,168,963.15
  5. Step 5: Solve for x
    x = 8,168,963.15/4,498.46
  6. Step 6: Final answer
    x = 1,815.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.