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Finding the Fourth Proportional to 2,524.84, 3,484.62 and 1,476.90

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Solution

The fourth proportional to 2,524.84, 3,484.62 and 1,476.90 is: 2,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.84 : 3,484.62 = 1,476.90 : x
  2. Step 2: Convert to fraction form
    2,524.84/3,484.62 = 1,476.90/x
  3. Step 3: Cross multiply
    2,524.84x = 3,484.62 × 1,476.90
  4. Step 4: Simplify right side
    2,524.84x = 5,146,435.28
  5. Step 5: Solve for x
    x = 5,146,435.28/2,524.84
  6. Step 6: Final answer
    x = 2,038.32

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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.