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Finding the Fourth Proportional to 2,614.68, 3,607.74 and 1,774.44

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Solution

The fourth proportional to 2,614.68, 3,607.74 and 1,774.44 is: 2,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.68 : 3,607.74 = 1,774.44 : x
  2. Step 2: Convert to fraction form
    2,614.68/3,607.74 = 1,774.44/x
  3. Step 3: Cross multiply
    2,614.68x = 3,607.74 × 1,774.44
  4. Step 4: Simplify right side
    2,614.68x = 6,401,718.17
  5. Step 5: Solve for x
    x = 6,401,718.17/2,614.68
  6. Step 6: Final answer
    x = 2,448.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.