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Finding the Fourth Proportional to 2,030.63, 3,045.95 and 491.63

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Solution

The fourth proportional to 2,030.63, 3,045.95 and 491.63 is: 737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.63 : 3,045.95 = 491.63 : x
  2. Step 2: Convert to fraction form
    2,030.63/3,045.95 = 491.63/x
  3. Step 3: Cross multiply
    2,030.63x = 3,045.95 × 491.63
  4. Step 4: Simplify right side
    2,030.63x = 1,497,462.71
  5. Step 5: Solve for x
    x = 1,497,462.71/2,030.63
  6. Step 6: Final answer
    x = 737.44

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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.