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Finding the Fourth Proportional to 1,917.24, 2,880.90 and 1,052.16

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Solution

The fourth proportional to 1,917.24, 2,880.90 and 1,052.16 is: 1,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.24 : 2,880.90 = 1,052.16 : x
  2. Step 2: Convert to fraction form
    1,917.24/2,880.90 = 1,052.16/x
  3. Step 3: Cross multiply
    1,917.24x = 2,880.90 × 1,052.16
  4. Step 4: Simplify right side
    1,917.24x = 3,031,167.74
  5. Step 5: Solve for x
    x = 3,031,167.74/1,917.24
  6. Step 6: Final answer
    x = 1,581.01

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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.