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Finding the Fourth Proportional to 1,897.21, 2,845.60 and 510.65

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Solution

The fourth proportional to 1,897.21, 2,845.60 and 510.65 is: 765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.21 : 2,845.60 = 510.65 : x
  2. Step 2: Convert to fraction form
    1,897.21/2,845.60 = 510.65/x
  3. Step 3: Cross multiply
    1,897.21x = 2,845.60 × 510.65
  4. Step 4: Simplify right side
    1,897.21x = 1,453,090.14
  5. Step 5: Solve for x
    x = 1,453,090.14/1,897.21
  6. Step 6: Final answer
    x = 765.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.