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Finding the Fourth Proportional to 3,053.91, 4,581.24 and 973.19

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Solution

The fourth proportional to 3,053.91, 4,581.24 and 973.19 is: 1,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.91 : 4,581.24 = 973.19 : x
  2. Step 2: Convert to fraction form
    3,053.91/4,581.24 = 973.19/x
  3. Step 3: Cross multiply
    3,053.91x = 4,581.24 × 973.19
  4. Step 4: Simplify right side
    3,053.91x = 4,458,416.96
  5. Step 5: Solve for x
    x = 4,458,416.96/3,053.91
  6. Step 6: Final answer
    x = 1,459.90

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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.