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Finding the Fourth Proportional to 2,497.36, 3,746.63 and 853.92

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Solution

The fourth proportional to 2,497.36, 3,746.63 and 853.92 is: 1,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.36 : 3,746.63 = 853.92 : x
  2. Step 2: Convert to fraction form
    2,497.36/3,746.63 = 853.92/x
  3. Step 3: Cross multiply
    2,497.36x = 3,746.63 × 853.92
  4. Step 4: Simplify right side
    2,497.36x = 3,199,311.49
  5. Step 5: Solve for x
    x = 3,199,311.49/2,497.36
  6. Step 6: Final answer
    x = 1,281.08

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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.