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Finding the Fourth Proportional to 4,498.54, 6,746.95 and 1,210.80

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Solution

The fourth proportional to 4,498.54, 6,746.95 and 1,210.80 is: 1,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.54 : 6,746.95 = 1,210.80 : x
  2. Step 2: Convert to fraction form
    4,498.54/6,746.95 = 1,210.80/x
  3. Step 3: Cross multiply
    4,498.54x = 6,746.95 × 1,210.80
  4. Step 4: Simplify right side
    4,498.54x = 8,169,189.11
  5. Step 5: Solve for x
    x = 8,169,189.11/4,498.54
  6. Step 6: Final answer
    x = 1,815.97

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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.