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Finding the Fourth Proportional to 3,065.63, 4,595.26 and 1,420.83

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Solution

The fourth proportional to 3,065.63, 4,595.26 and 1,420.83 is: 2,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.63 : 4,595.26 = 1,420.83 : x
  2. Step 2: Convert to fraction form
    3,065.63/4,595.26 = 1,420.83/x
  3. Step 3: Cross multiply
    3,065.63x = 4,595.26 × 1,420.83
  4. Step 4: Simplify right side
    3,065.63x = 6,529,058.17
  5. Step 5: Solve for x
    x = 6,529,058.17/3,065.63
  6. Step 6: Final answer
    x = 2,129.76

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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.