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Finding the Fourth Proportional to 2,646.07, 3,968.66 and 1,002.22

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Solution

The fourth proportional to 2,646.07, 3,968.66 and 1,002.22 is: 1,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.07 : 3,968.66 = 1,002.22 : x
  2. Step 2: Convert to fraction form
    2,646.07/3,968.66 = 1,002.22/x
  3. Step 3: Cross multiply
    2,646.07x = 3,968.66 × 1,002.22
  4. Step 4: Simplify right side
    2,646.07x = 3,977,463.01
  5. Step 5: Solve for x
    x = 3,977,463.01/2,646.07
  6. Step 6: Final answer
    x = 1,503.16

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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.