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Finding the Fourth Proportional to 2,933.69, 4,402.35 and 1,472.99

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Solution

The fourth proportional to 2,933.69, 4,402.35 and 1,472.99 is: 2,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.69 : 4,402.35 = 1,472.99 : x
  2. Step 2: Convert to fraction form
    2,933.69/4,402.35 = 1,472.99/x
  3. Step 3: Cross multiply
    2,933.69x = 4,402.35 × 1,472.99
  4. Step 4: Simplify right side
    2,933.69x = 6,484,595.51
  5. Step 5: Solve for x
    x = 6,484,595.51/2,933.69
  6. Step 6: Final answer
    x = 2,210.39

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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.