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Finding the Fourth Proportional to 1,988.30, 2,983.95 and 740.05

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Solution

The fourth proportional to 1,988.30, 2,983.95 and 740.05 is: 1,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.30 : 2,983.95 = 740.05 : x
  2. Step 2: Convert to fraction form
    1,988.30/2,983.95 = 740.05/x
  3. Step 3: Cross multiply
    1,988.30x = 2,983.95 × 740.05
  4. Step 4: Simplify right side
    1,988.30x = 2,208,264.74
  5. Step 5: Solve for x
    x = 2,208,264.74/1,988.30
  6. Step 6: Final answer
    x = 1,110.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.