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Finding the Fourth Proportional to 1,758.09, 2,426.18 and 972.19

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Solution

The fourth proportional to 1,758.09, 2,426.18 and 972.19 is: 1,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.09 : 2,426.18 = 972.19 : x
  2. Step 2: Convert to fraction form
    1,758.09/2,426.18 = 972.19/x
  3. Step 3: Cross multiply
    1,758.09x = 2,426.18 × 972.19
  4. Step 4: Simplify right side
    1,758.09x = 2,358,707.93
  5. Step 5: Solve for x
    x = 2,358,707.93/1,758.09
  6. Step 6: Final answer
    x = 1,341.63

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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.