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Finding the Fourth Proportional to 3,066.86, 4,600.26 and 875.58

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Solution

The fourth proportional to 3,066.86, 4,600.26 and 875.58 is: 1,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.86 : 4,600.26 = 875.58 : x
  2. Step 2: Convert to fraction form
    3,066.86/4,600.26 = 875.58/x
  3. Step 3: Cross multiply
    3,066.86x = 4,600.26 × 875.58
  4. Step 4: Simplify right side
    3,066.86x = 4,027,878.40
  5. Step 5: Solve for x
    x = 4,027,878.40/3,066.86
  6. Step 6: Final answer
    x = 1,313.35

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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.