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Finding the Fourth Proportional to 2,964, 4,448.42 and 1,503.57

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Solution

The fourth proportional to 2,964, 4,448.42 and 1,503.57 is: 2,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964 : 4,448.42 = 1,503.57 : x
  2. Step 2: Convert to fraction form
    2,964/4,448.42 = 1,503.57/x
  3. Step 3: Cross multiply
    2,964x = 4,448.42 × 1,503.57
  4. Step 4: Simplify right side
    2,964x = 6,688,503.34
  5. Step 5: Solve for x
    x = 6,688,503.34/2,964
  6. Step 6: Final answer
    x = 2,256.58

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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.