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Finding the Fourth Proportional to 1,690.27, 2,332.45 and 934.02

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Solution

The fourth proportional to 1,690.27, 2,332.45 and 934.02 is: 1,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.27 : 2,332.45 = 934.02 : x
  2. Step 2: Convert to fraction form
    1,690.27/2,332.45 = 934.02/x
  3. Step 3: Cross multiply
    1,690.27x = 2,332.45 × 934.02
  4. Step 4: Simplify right side
    1,690.27x = 2,178,558.74
  5. Step 5: Solve for x
    x = 2,178,558.74/1,690.27
  6. Step 6: Final answer
    x = 1,288.88

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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.