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Finding the Fourth Proportional to 1,528.86, 2,293.72 and 651.41

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Solution

The fourth proportional to 1,528.86, 2,293.72 and 651.41 is: 977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.86 : 2,293.72 = 651.41 : x
  2. Step 2: Convert to fraction form
    1,528.86/2,293.72 = 651.41/x
  3. Step 3: Cross multiply
    1,528.86x = 2,293.72 × 651.41
  4. Step 4: Simplify right side
    1,528.86x = 1,494,139.05
  5. Step 5: Solve for x
    x = 1,494,139.05/1,528.86
  6. Step 6: Final answer
    x = 977.29

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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.