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Finding the Fourth Proportional to 2,498.34, 3,746.46 and 855.02

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Solution

The fourth proportional to 2,498.34, 3,746.46 and 855.02 is: 1,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.34 : 3,746.46 = 855.02 : x
  2. Step 2: Convert to fraction form
    2,498.34/3,746.46 = 855.02/x
  3. Step 3: Cross multiply
    2,498.34x = 3,746.46 × 855.02
  4. Step 4: Simplify right side
    2,498.34x = 3,203,307.60
  5. Step 5: Solve for x
    x = 3,203,307.60/2,498.34
  6. Step 6: Final answer
    x = 1,282.17

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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.