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Finding the Fourth Proportional to 1,717.80, 2,370.68 and 971.79

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Solution

The fourth proportional to 1,717.80, 2,370.68 and 971.79 is: 1,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.80 : 2,370.68 = 971.79 : x
  2. Step 2: Convert to fraction form
    1,717.80/2,370.68 = 971.79/x
  3. Step 3: Cross multiply
    1,717.80x = 2,370.68 × 971.79
  4. Step 4: Simplify right side
    1,717.80x = 2,303,801.90
  5. Step 5: Solve for x
    x = 2,303,801.90/1,717.80
  6. Step 6: Final answer
    x = 1,341.14

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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.