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Finding the Fourth Proportional to 1,877.70, 2,816.01 and 723.18

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Solution

The fourth proportional to 1,877.70, 2,816.01 and 723.18 is: 1,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.70 : 2,816.01 = 723.18 : x
  2. Step 2: Convert to fraction form
    1,877.70/2,816.01 = 723.18/x
  3. Step 3: Cross multiply
    1,877.70x = 2,816.01 × 723.18
  4. Step 4: Simplify right side
    1,877.70x = 2,036,482.11
  5. Step 5: Solve for x
    x = 2,036,482.11/1,877.70
  6. Step 6: Final answer
    x = 1,084.56

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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.