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Finding the Fourth Proportional to 2,607.16, 3,909.94 and 1,421

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Solution

The fourth proportional to 2,607.16, 3,909.94 and 1,421 is: 2,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.16 : 3,909.94 = 1,421 : x
  2. Step 2: Convert to fraction form
    2,607.16/3,909.94 = 1,421/x
  3. Step 3: Cross multiply
    2,607.16x = 3,909.94 × 1,421
  4. Step 4: Simplify right side
    2,607.16x = 5,556,024.74
  5. Step 5: Solve for x
    x = 5,556,024.74/2,607.16
  6. Step 6: Final answer
    x = 2,131.06

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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.