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Finding the Fourth Proportional to 1,897.41, 2,845.92 and 510.69

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Solution

The fourth proportional to 1,897.41, 2,845.92 and 510.69 is: 765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.41 : 2,845.92 = 510.69 : x
  2. Step 2: Convert to fraction form
    1,897.41/2,845.92 = 510.69/x
  3. Step 3: Cross multiply
    1,897.41x = 2,845.92 × 510.69
  4. Step 4: Simplify right side
    1,897.41x = 1,453,376.59
  5. Step 5: Solve for x
    x = 1,453,376.59/1,897.41
  6. Step 6: Final answer
    x = 765.98

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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.