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Finding the Fourth Proportional to 1,764.90, 2,430.63 and 1,726.64

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Solution

The fourth proportional to 1,764.90, 2,430.63 and 1,726.64 is: 2,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.90 : 2,430.63 = 1,726.64 : x
  2. Step 2: Convert to fraction form
    1,764.90/2,430.63 = 1,726.64/x
  3. Step 3: Cross multiply
    1,764.90x = 2,430.63 × 1,726.64
  4. Step 4: Simplify right side
    1,764.90x = 4,196,810.83
  5. Step 5: Solve for x
    x = 4,196,810.83/1,764.90
  6. Step 6: Final answer
    x = 2,377.93

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