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Finding the Fourth Proportional to 2,335.79, 3,503.72 and 692.33

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Solution

The fourth proportional to 2,335.79, 3,503.72 and 692.33 is: 1,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.79 : 3,503.72 = 692.33 : x
  2. Step 2: Convert to fraction form
    2,335.79/3,503.72 = 692.33/x
  3. Step 3: Cross multiply
    2,335.79x = 3,503.72 × 692.33
  4. Step 4: Simplify right side
    2,335.79x = 2,425,730.47
  5. Step 5: Solve for x
    x = 2,425,730.47/2,335.79
  6. Step 6: Final answer
    x = 1,038.51

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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.