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Finding the Fourth Proportional to 2,971.33, 4,457.03 and 780.05

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Solution

The fourth proportional to 2,971.33, 4,457.03 and 780.05 is: 1,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.33 : 4,457.03 = 780.05 : x
  2. Step 2: Convert to fraction form
    2,971.33/4,457.03 = 780.05/x
  3. Step 3: Cross multiply
    2,971.33x = 4,457.03 × 780.05
  4. Step 4: Simplify right side
    2,971.33x = 3,476,688.42
  5. Step 5: Solve for x
    x = 3,476,688.42/2,971.33
  6. Step 6: Final answer
    x = 1,170.08

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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.