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Finding the Fourth Proportional to 2,228.07, 3,341.58 and 841.55

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Solution

The fourth proportional to 2,228.07, 3,341.58 and 841.55 is: 1,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.07 : 3,341.58 = 841.55 : x
  2. Step 2: Convert to fraction form
    2,228.07/3,341.58 = 841.55/x
  3. Step 3: Cross multiply
    2,228.07x = 3,341.58 × 841.55
  4. Step 4: Simplify right side
    2,228.07x = 2,812,106.65
  5. Step 5: Solve for x
    x = 2,812,106.65/2,228.07
  6. Step 6: Final answer
    x = 1,262.13

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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.