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Finding the Fourth Proportional to 1,727.58, 2,590.94 and 631.92

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Solution

The fourth proportional to 1,727.58, 2,590.94 and 631.92 is: 947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.58 : 2,590.94 = 631.92 : x
  2. Step 2: Convert to fraction form
    1,727.58/2,590.94 = 631.92/x
  3. Step 3: Cross multiply
    1,727.58x = 2,590.94 × 631.92
  4. Step 4: Simplify right side
    1,727.58x = 1,637,266.80
  5. Step 5: Solve for x
    x = 1,637,266.80/1,727.58
  6. Step 6: Final answer
    x = 947.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.