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Finding the Fourth Proportional to 1,764.61, 2,430.16 and 1,467.16

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Solution

The fourth proportional to 1,764.61, 2,430.16 and 1,467.16 is: 2,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.61 : 2,430.16 = 1,467.16 : x
  2. Step 2: Convert to fraction form
    1,764.61/2,430.16 = 1,467.16/x
  3. Step 3: Cross multiply
    1,764.61x = 2,430.16 × 1,467.16
  4. Step 4: Simplify right side
    1,764.61x = 3,565,433.55
  5. Step 5: Solve for x
    x = 3,565,433.55/1,764.61
  6. Step 6: Final answer
    x = 2,020.52

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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.