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Finding the Fourth Proportional to 2,415.38, 3,623.06 and 591.38

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Solution

The fourth proportional to 2,415.38, 3,623.06 and 591.38 is: 887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.38 : 3,623.06 = 591.38 : x
  2. Step 2: Convert to fraction form
    2,415.38/3,623.06 = 591.38/x
  3. Step 3: Cross multiply
    2,415.38x = 3,623.06 × 591.38
  4. Step 4: Simplify right side
    2,415.38x = 2,142,588.59
  5. Step 5: Solve for x
    x = 2,142,588.59/2,415.38
  6. Step 6: Final answer
    x = 887.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.