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Finding the Fourth Proportional to 2,703.87, 4,052.16 and 1,970.01

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Solution

The fourth proportional to 2,703.87, 4,052.16 and 1,970.01 is: 2,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.87 : 4,052.16 = 1,970.01 : x
  2. Step 2: Convert to fraction form
    2,703.87/4,052.16 = 1,970.01/x
  3. Step 3: Cross multiply
    2,703.87x = 4,052.16 × 1,970.01
  4. Step 4: Simplify right side
    2,703.87x = 7,982,795.72
  5. Step 5: Solve for x
    x = 7,982,795.72/2,703.87
  6. Step 6: Final answer
    x = 2,952.36

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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.