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Finding the Fourth Proportional to 2,748.18, 3,792.15 and 1,699.86

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Solution

The fourth proportional to 2,748.18, 3,792.15 and 1,699.86 is: 2,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.18 : 3,792.15 = 1,699.86 : x
  2. Step 2: Convert to fraction form
    2,748.18/3,792.15 = 1,699.86/x
  3. Step 3: Cross multiply
    2,748.18x = 3,792.15 × 1,699.86
  4. Step 4: Simplify right side
    2,748.18x = 6,446,124.10
  5. Step 5: Solve for x
    x = 6,446,124.10/2,748.18
  6. Step 6: Final answer
    x = 2,345.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.