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Finding the Fourth Proportional to 2,973.48, 4,459.65 and 893.49

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Solution

The fourth proportional to 2,973.48, 4,459.65 and 893.49 is: 1,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.48 : 4,459.65 = 893.49 : x
  2. Step 2: Convert to fraction form
    2,973.48/4,459.65 = 893.49/x
  3. Step 3: Cross multiply
    2,973.48x = 4,459.65 × 893.49
  4. Step 4: Simplify right side
    2,973.48x = 3,984,652.68
  5. Step 5: Solve for x
    x = 3,984,652.68/2,973.48
  6. Step 6: Final answer
    x = 1,340.06

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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.