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Finding the Fourth Proportional to 2,446.48, 3,670.01 and 780.02

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Solution

The fourth proportional to 2,446.48, 3,670.01 and 780.02 is: 1,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.48 : 3,670.01 = 780.02 : x
  2. Step 2: Convert to fraction form
    2,446.48/3,670.01 = 780.02/x
  3. Step 3: Cross multiply
    2,446.48x = 3,670.01 × 780.02
  4. Step 4: Simplify right side
    2,446.48x = 2,862,681.20
  5. Step 5: Solve for x
    x = 2,862,681.20/2,446.48
  6. Step 6: Final answer
    x = 1,170.12

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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.