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Finding the Fourth Proportional to 2,335.92, 3,506.16 and 1,038.24

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Solution

The fourth proportional to 2,335.92, 3,506.16 and 1,038.24 is: 1,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.92 : 3,506.16 = 1,038.24 : x
  2. Step 2: Convert to fraction form
    2,335.92/3,506.16 = 1,038.24/x
  3. Step 3: Cross multiply
    2,335.92x = 3,506.16 × 1,038.24
  4. Step 4: Simplify right side
    2,335.92x = 3,640,235.56
  5. Step 5: Solve for x
    x = 3,640,235.56/2,335.92
  6. Step 6: Final answer
    x = 1,558.37

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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.