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Finding the Fourth Proportional to 1,762.81, 2,644.90 and 1,304.45

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Solution

The fourth proportional to 1,762.81, 2,644.90 and 1,304.45 is: 1,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.81 : 2,644.90 = 1,304.45 : x
  2. Step 2: Convert to fraction form
    1,762.81/2,644.90 = 1,304.45/x
  3. Step 3: Cross multiply
    1,762.81x = 2,644.90 × 1,304.45
  4. Step 4: Simplify right side
    1,762.81x = 3,450,155.45
  5. Step 5: Solve for x
    x = 3,450,155.45/1,762.81
  6. Step 6: Final answer
    x = 1,957.19

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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.