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Finding the Fourth Proportional to 2,709.02, 4,063.53 and 977.24

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Solution

The fourth proportional to 2,709.02, 4,063.53 and 977.24 is: 1,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.02 : 4,063.53 = 977.24 : x
  2. Step 2: Convert to fraction form
    2,709.02/4,063.53 = 977.24/x
  3. Step 3: Cross multiply
    2,709.02x = 4,063.53 × 977.24
  4. Step 4: Simplify right side
    2,709.02x = 3,971,044.06
  5. Step 5: Solve for x
    x = 3,971,044.06/2,709.02
  6. Step 6: Final answer
    x = 1,465.86

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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.