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Finding the Fourth Proportional to 1,726.02, 2,381.78 and 980.00

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Solution

The fourth proportional to 1,726.02, 2,381.78 and 980.00 is: 1,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.02 : 2,381.78 = 980.00 : x
  2. Step 2: Convert to fraction form
    1,726.02/2,381.78 = 980.00/x
  3. Step 3: Cross multiply
    1,726.02x = 2,381.78 × 980.00
  4. Step 4: Simplify right side
    1,726.02x = 2,334,143.87
  5. Step 5: Solve for x
    x = 2,334,143.87/1,726.02
  6. Step 6: Final answer
    x = 1,352.33

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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.