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Finding the Fourth Proportional to 1,718.04, 2,370.88 and 971.96

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Solution

The fourth proportional to 1,718.04, 2,370.88 and 971.96 is: 1,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.04 : 2,370.88 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,718.04/2,370.88 = 971.96/x
  3. Step 3: Cross multiply
    1,718.04x = 2,370.88 × 971.96
  4. Step 4: Simplify right side
    1,718.04x = 2,304,400.52
  5. Step 5: Solve for x
    x = 2,304,400.52/1,718.04
  6. Step 6: Final answer
    x = 1,341.30

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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.