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Finding the Fourth Proportional to 2,523.84, 3,482.87 and 1,404.84

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Solution

The fourth proportional to 2,523.84, 3,482.87 and 1,404.84 is: 1,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.84 : 3,482.87 = 1,404.84 : x
  2. Step 2: Convert to fraction form
    2,523.84/3,482.87 = 1,404.84/x
  3. Step 3: Cross multiply
    2,523.84x = 3,482.87 × 1,404.84
  4. Step 4: Simplify right side
    2,523.84x = 4,892,875.09
  5. Step 5: Solve for x
    x = 4,892,875.09/2,523.84
  6. Step 6: Final answer
    x = 1,938.66

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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.