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Finding the Fourth Proportional to 1,692.39, 2,533.55 and 1,032.29

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Solution

The fourth proportional to 1,692.39, 2,533.55 and 1,032.29 is: 1,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.39 : 2,533.55 = 1,032.29 : x
  2. Step 2: Convert to fraction form
    1,692.39/2,533.55 = 1,032.29/x
  3. Step 3: Cross multiply
    1,692.39x = 2,533.55 × 1,032.29
  4. Step 4: Simplify right side
    1,692.39x = 2,615,340.50
  5. Step 5: Solve for x
    x = 2,615,340.50/1,692.39
  6. Step 6: Final answer
    x = 1,545.35

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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.