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Finding the Fourth Proportional to 2,498.58, 3,746.12 and 1,111.19

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Solution

The fourth proportional to 2,498.58, 3,746.12 and 1,111.19 is: 1,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.58 : 3,746.12 = 1,111.19 : x
  2. Step 2: Convert to fraction form
    2,498.58/3,746.12 = 1,111.19/x
  3. Step 3: Cross multiply
    2,498.58x = 3,746.12 × 1,111.19
  4. Step 4: Simplify right side
    2,498.58x = 4,162,626.80
  5. Step 5: Solve for x
    x = 4,162,626.80/2,498.58
  6. Step 6: Final answer
    x = 1,666.00

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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.