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Finding the Fourth Proportional to 1,901.90, 2,627.14 and 1,530.27

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Solution

The fourth proportional to 1,901.90, 2,627.14 and 1,530.27 is: 2,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.90 : 2,627.14 = 1,530.27 : x
  2. Step 2: Convert to fraction form
    1,901.90/2,627.14 = 1,530.27/x
  3. Step 3: Cross multiply
    1,901.90x = 2,627.14 × 1,530.27
  4. Step 4: Simplify right side
    1,901.90x = 4,020,233.53
  5. Step 5: Solve for x
    x = 4,020,233.53/1,901.90
  6. Step 6: Final answer
    x = 2,113.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.