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Finding the Fourth Proportional to 2,880.91, 4,321.72 and 1,032.22

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Solution

The fourth proportional to 2,880.91, 4,321.72 and 1,032.22 is: 1,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.91 : 4,321.72 = 1,032.22 : x
  2. Step 2: Convert to fraction form
    2,880.91/4,321.72 = 1,032.22/x
  3. Step 3: Cross multiply
    2,880.91x = 4,321.72 × 1,032.22
  4. Step 4: Simplify right side
    2,880.91x = 4,460,972.51
  5. Step 5: Solve for x
    x = 4,460,972.51/2,880.91
  6. Step 6: Final answer
    x = 1,548.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.