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Finding the Fourth Proportional to 2,692.36, 4,033.50 and 1,871.08

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Solution

The fourth proportional to 2,692.36, 4,033.50 and 1,871.08 is: 2,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.36 : 4,033.50 = 1,871.08 : x
  2. Step 2: Convert to fraction form
    2,692.36/4,033.50 = 1,871.08/x
  3. Step 3: Cross multiply
    2,692.36x = 4,033.50 × 1,871.08
  4. Step 4: Simplify right side
    2,692.36x = 7,547,001.18
  5. Step 5: Solve for x
    x = 7,547,001.18/2,692.36
  6. Step 6: Final answer
    x = 2,803.12

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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.