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Finding the Fourth Proportional to 3,124.58, 4,683.29 and 1,478.79

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Solution

The fourth proportional to 3,124.58, 4,683.29 and 1,478.79 is: 2,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.58 : 4,683.29 = 1,478.79 : x
  2. Step 2: Convert to fraction form
    3,124.58/4,683.29 = 1,478.79/x
  3. Step 3: Cross multiply
    3,124.58x = 4,683.29 × 1,478.79
  4. Step 4: Simplify right side
    3,124.58x = 6,925,595.03
  5. Step 5: Solve for x
    x = 6,925,595.03/3,124.58
  6. Step 6: Final answer
    x = 2,216.49

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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.