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Finding the Fourth Proportional to 1,774.35, 2,674.82 and 1,655.42

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Solution

The fourth proportional to 1,774.35, 2,674.82 and 1,655.42 is: 2,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.35 : 2,674.82 = 1,655.42 : x
  2. Step 2: Convert to fraction form
    1,774.35/2,674.82 = 1,655.42/x
  3. Step 3: Cross multiply
    1,774.35x = 2,674.82 × 1,655.42
  4. Step 4: Simplify right side
    1,774.35x = 4,427,928.87
  5. Step 5: Solve for x
    x = 4,427,928.87/1,774.35
  6. Step 6: Final answer
    x = 2,495.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.