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Finding the Fourth Proportional to 1,977.01, 2,965.41 and 590.35

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Solution

The fourth proportional to 1,977.01, 2,965.41 and 590.35 is: 885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.01 : 2,965.41 = 590.35 : x
  2. Step 2: Convert to fraction form
    1,977.01/2,965.41 = 590.35/x
  3. Step 3: Cross multiply
    1,977.01x = 2,965.41 × 590.35
  4. Step 4: Simplify right side
    1,977.01x = 1,750,639.44
  5. Step 5: Solve for x
    x = 1,750,639.44/1,977.01
  6. Step 6: Final answer
    x = 885.50

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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.