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Finding the Fourth Proportional to 2,392.65, 3,587.58 and 1,902.20

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Solution

The fourth proportional to 2,392.65, 3,587.58 and 1,902.20 is: 2,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.65 : 3,587.58 = 1,902.20 : x
  2. Step 2: Convert to fraction form
    2,392.65/3,587.58 = 1,902.20/x
  3. Step 3: Cross multiply
    2,392.65x = 3,587.58 × 1,902.20
  4. Step 4: Simplify right side
    2,392.65x = 6,824,276.74
  5. Step 5: Solve for x
    x = 6,824,276.74/2,392.65
  6. Step 6: Final answer
    x = 2,852.18

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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.