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Finding the Fourth Proportional to 2,977.05, 4,465.01 and 1,495.88

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Solution

The fourth proportional to 2,977.05, 4,465.01 and 1,495.88 is: 2,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.05 : 4,465.01 = 1,495.88 : x
  2. Step 2: Convert to fraction form
    2,977.05/4,465.01 = 1,495.88/x
  3. Step 3: Cross multiply
    2,977.05x = 4,465.01 × 1,495.88
  4. Step 4: Simplify right side
    2,977.05x = 6,679,089.35
  5. Step 5: Solve for x
    x = 6,679,089.35/2,977.05
  6. Step 6: Final answer
    x = 2,243.53

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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.