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Finding the Fourth Proportional to 1,734.19, 2,392.62 and 988.03

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Solution

The fourth proportional to 1,734.19, 2,392.62 and 988.03 is: 1,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.19 : 2,392.62 = 988.03 : x
  2. Step 2: Convert to fraction form
    1,734.19/2,392.62 = 988.03/x
  3. Step 3: Cross multiply
    1,734.19x = 2,392.62 × 988.03
  4. Step 4: Simplify right side
    1,734.19x = 2,363,980.34
  5. Step 5: Solve for x
    x = 2,363,980.34/1,734.19
  6. Step 6: Final answer
    x = 1,363.16

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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.