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Finding the Fourth Proportional to 1,733.86, 2,392.17 and 1,210.18

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Solution

The fourth proportional to 1,733.86, 2,392.17 and 1,210.18 is: 1,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.86 : 2,392.17 = 1,210.18 : x
  2. Step 2: Convert to fraction form
    1,733.86/2,392.17 = 1,210.18/x
  3. Step 3: Cross multiply
    1,733.86x = 2,392.17 × 1,210.18
  4. Step 4: Simplify right side
    1,733.86x = 2,894,956.29
  5. Step 5: Solve for x
    x = 2,894,956.29/1,733.86
  6. Step 6: Final answer
    x = 1,669.66

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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.