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Finding the Fourth Proportional to 2,310.32, 3,465.48 and 578.94

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Solution

The fourth proportional to 2,310.32, 3,465.48 and 578.94 is: 868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.32 : 3,465.48 = 578.94 : x
  2. Step 2: Convert to fraction form
    2,310.32/3,465.48 = 578.94/x
  3. Step 3: Cross multiply
    2,310.32x = 3,465.48 × 578.94
  4. Step 4: Simplify right side
    2,310.32x = 2,006,302.10
  5. Step 5: Solve for x
    x = 2,006,302.10/2,310.32
  6. Step 6: Final answer
    x = 868.41

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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.