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Finding the Fourth Proportional to 2,335.33, 3,503.36 and 692.04

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Solution

The fourth proportional to 2,335.33, 3,503.36 and 692.04 is: 1,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.33 : 3,503.36 = 692.04 : x
  2. Step 2: Convert to fraction form
    2,335.33/3,503.36 = 692.04/x
  3. Step 3: Cross multiply
    2,335.33x = 3,503.36 × 692.04
  4. Step 4: Simplify right side
    2,335.33x = 2,424,444.28
  5. Step 5: Solve for x
    x = 2,424,444.28/2,335.33
  6. Step 6: Final answer
    x = 1,038.16

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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.