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Finding the Fourth Proportional to 2,802.65, 4,194.86 and 1,701.86

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Solution

The fourth proportional to 2,802.65, 4,194.86 and 1,701.86 is: 2,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.65 : 4,194.86 = 1,701.86 : x
  2. Step 2: Convert to fraction form
    2,802.65/4,194.86 = 1,701.86/x
  3. Step 3: Cross multiply
    2,802.65x = 4,194.86 × 1,701.86
  4. Step 4: Simplify right side
    2,802.65x = 7,139,034.96
  5. Step 5: Solve for x
    x = 7,139,034.96/2,802.65
  6. Step 6: Final answer
    x = 2,547.25

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Why These Related Problems?

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