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Finding the Fourth Proportional to 2,346.72, 3,520.16 and 1,802.08

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Solution

The fourth proportional to 2,346.72, 3,520.16 and 1,802.08 is: 2,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.72 : 3,520.16 = 1,802.08 : x
  2. Step 2: Convert to fraction form
    2,346.72/3,520.16 = 1,802.08/x
  3. Step 3: Cross multiply
    2,346.72x = 3,520.16 × 1,802.08
  4. Step 4: Simplify right side
    2,346.72x = 6,343,609.93
  5. Step 5: Solve for x
    x = 6,343,609.93/2,346.72
  6. Step 6: Final answer
    x = 2,703.18

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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.