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Finding the Fourth Proportional to 1,764.55, 2,432.73 and 1,464.67

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Solution

The fourth proportional to 1,764.55, 2,432.73 and 1,464.67 is: 2,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.55 : 2,432.73 = 1,464.67 : x
  2. Step 2: Convert to fraction form
    1,764.55/2,432.73 = 1,464.67/x
  3. Step 3: Cross multiply
    1,764.55x = 2,432.73 × 1,464.67
  4. Step 4: Simplify right side
    1,764.55x = 3,563,146.65
  5. Step 5: Solve for x
    x = 3,563,146.65/1,764.55
  6. Step 6: Final answer
    x = 2,019.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.