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Finding the Fourth Proportional to 1,988.30, 2,981.75 and 756.05

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Solution

The fourth proportional to 1,988.30, 2,981.75 and 756.05 is: 1,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.30 : 2,981.75 = 756.05 : x
  2. Step 2: Convert to fraction form
    1,988.30/2,981.75 = 756.05/x
  3. Step 3: Cross multiply
    1,988.30x = 2,981.75 × 756.05
  4. Step 4: Simplify right side
    1,988.30x = 2,254,333.40
  5. Step 5: Solve for x
    x = 2,254,333.40/1,988.30
  6. Step 6: Final answer
    x = 1,133.80

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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.