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Finding the Fourth Proportional to 1,915.02, 2,865.96 and 1,564.38

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Solution

The fourth proportional to 1,915.02, 2,865.96 and 1,564.38 is: 2,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.02 : 2,865.96 = 1,564.38 : x
  2. Step 2: Convert to fraction form
    1,915.02/2,865.96 = 1,564.38/x
  3. Step 3: Cross multiply
    1,915.02x = 2,865.96 × 1,564.38
  4. Step 4: Simplify right side
    1,915.02x = 4,483,450.50
  5. Step 5: Solve for x
    x = 4,483,450.50/1,915.02
  6. Step 6: Final answer
    x = 2,341.20

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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.