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Finding the Fourth Proportional to 2,498.16, 3,746.44 and 1,017

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Solution

The fourth proportional to 2,498.16, 3,746.44 and 1,017 is: 1,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.16 : 3,746.44 = 1,017 : x
  2. Step 2: Convert to fraction form
    2,498.16/3,746.44 = 1,017/x
  3. Step 3: Cross multiply
    2,498.16x = 3,746.44 × 1,017
  4. Step 4: Simplify right side
    2,498.16x = 3,810,129.48
  5. Step 5: Solve for x
    x = 3,810,129.48/2,498.16
  6. Step 6: Final answer
    x = 1,525.17

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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.