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Finding the Fourth Proportional to 2,753.46, 4,130.70 and 904.64

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Solution

The fourth proportional to 2,753.46, 4,130.70 and 904.64 is: 1,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.46 : 4,130.70 = 904.64 : x
  2. Step 2: Convert to fraction form
    2,753.46/4,130.70 = 904.64/x
  3. Step 3: Cross multiply
    2,753.46x = 4,130.70 × 904.64
  4. Step 4: Simplify right side
    2,753.46x = 3,736,807.25
  5. Step 5: Solve for x
    x = 3,736,807.25/2,753.46
  6. Step 6: Final answer
    x = 1,357.13

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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.