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Finding the Fourth Proportional to 1,281.16, 1,922.82 and 973.36

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Solution

The fourth proportional to 1,281.16, 1,922.82 and 973.36 is: 1,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.16 : 1,922.82 = 973.36 : x
  2. Step 2: Convert to fraction form
    1,281.16/1,922.82 = 973.36/x
  3. Step 3: Cross multiply
    1,281.16x = 1,922.82 × 973.36
  4. Step 4: Simplify right side
    1,281.16x = 1,871,596.08
  5. Step 5: Solve for x
    x = 1,871,596.08/1,281.16
  6. Step 6: Final answer
    x = 1,460.86

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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.