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Finding the Fourth Proportional to 1,648.16, 2,274.33 and 902.13

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Solution

The fourth proportional to 1,648.16, 2,274.33 and 902.13 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.16 : 2,274.33 = 902.13 : x
  2. Step 2: Convert to fraction form
    1,648.16/2,274.33 = 902.13/x
  3. Step 3: Cross multiply
    1,648.16x = 2,274.33 × 902.13
  4. Step 4: Simplify right side
    1,648.16x = 2,051,741.32
  5. Step 5: Solve for x
    x = 2,051,741.32/1,648.16
  6. Step 6: Final answer
    x = 1,244.87

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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.