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Finding the Fourth Proportional to 2,802.65, 4,204.32 and 1,242.67

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Solution

The fourth proportional to 2,802.65, 4,204.32 and 1,242.67 is: 1,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.65 : 4,204.32 = 1,242.67 : x
  2. Step 2: Convert to fraction form
    2,802.65/4,204.32 = 1,242.67/x
  3. Step 3: Cross multiply
    2,802.65x = 4,204.32 × 1,242.67
  4. Step 4: Simplify right side
    2,802.65x = 5,224,582.33
  5. Step 5: Solve for x
    x = 5,224,582.33/2,802.65
  6. Step 6: Final answer
    x = 1,864.16

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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.