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Finding the Fourth Proportional to 2,753.45, 4,130.21 and 904.71

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Solution

The fourth proportional to 2,753.45, 4,130.21 and 904.71 is: 1,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.45 : 4,130.21 = 904.71 : x
  2. Step 2: Convert to fraction form
    2,753.45/4,130.21 = 904.71/x
  3. Step 3: Cross multiply
    2,753.45x = 4,130.21 × 904.71
  4. Step 4: Simplify right side
    2,753.45x = 3,736,642.29
  5. Step 5: Solve for x
    x = 3,736,642.29/2,753.45
  6. Step 6: Final answer
    x = 1,357.08

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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.