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Finding the Fourth Proportional to 2,748.81, 3,792.69 and 1,672.08

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Solution

The fourth proportional to 2,748.81, 3,792.69 and 1,672.08 is: 2,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.81 : 3,792.69 = 1,672.08 : x
  2. Step 2: Convert to fraction form
    2,748.81/3,792.69 = 1,672.08/x
  3. Step 3: Cross multiply
    2,748.81x = 3,792.69 × 1,672.08
  4. Step 4: Simplify right side
    2,748.81x = 6,341,681.10
  5. Step 5: Solve for x
    x = 6,341,681.10/2,748.81
  6. Step 6: Final answer
    x = 2,307.06

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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.