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Finding the Fourth Proportional to 1,897.48, 2,847.30 and 1,515.16

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Solution

The fourth proportional to 1,897.48, 2,847.30 and 1,515.16 is: 2,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.48 : 2,847.30 = 1,515.16 : x
  2. Step 2: Convert to fraction form
    1,897.48/2,847.30 = 1,515.16/x
  3. Step 3: Cross multiply
    1,897.48x = 2,847.30 × 1,515.16
  4. Step 4: Simplify right side
    1,897.48x = 4,314,115.07
  5. Step 5: Solve for x
    x = 4,314,115.07/1,897.48
  6. Step 6: Final answer
    x = 2,273.60

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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.