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Finding the Fourth Proportional to 1,722.06, 2,376.08 and 975.78

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Solution

The fourth proportional to 1,722.06, 2,376.08 and 975.78 is: 1,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.06 : 2,376.08 = 975.78 : x
  2. Step 2: Convert to fraction form
    1,722.06/2,376.08 = 975.78/x
  3. Step 3: Cross multiply
    1,722.06x = 2,376.08 × 975.78
  4. Step 4: Simplify right side
    1,722.06x = 2,318,526.46
  5. Step 5: Solve for x
    x = 2,318,526.46/1,722.06
  6. Step 6: Final answer
    x = 1,346.37

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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.