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Finding the Fourth Proportional to 1,988.63, 2,982.95 and 690.10

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Solution

The fourth proportional to 1,988.63, 2,982.95 and 690.10 is: 1,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.63 : 2,982.95 = 690.10 : x
  2. Step 2: Convert to fraction form
    1,988.63/2,982.95 = 690.10/x
  3. Step 3: Cross multiply
    1,988.63x = 2,982.95 × 690.10
  4. Step 4: Simplify right side
    1,988.63x = 2,058,533.80
  5. Step 5: Solve for x
    x = 2,058,533.80/1,988.63
  6. Step 6: Final answer
    x = 1,035.15

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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.