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Finding the Fourth Proportional to 1,900.90, 2,853.14 and 977.10

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Solution

The fourth proportional to 1,900.90, 2,853.14 and 977.10 is: 1,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.90 : 2,853.14 = 977.10 : x
  2. Step 2: Convert to fraction form
    1,900.90/2,853.14 = 977.10/x
  3. Step 3: Cross multiply
    1,900.90x = 2,853.14 × 977.10
  4. Step 4: Simplify right side
    1,900.90x = 2,787,806.98
  5. Step 5: Solve for x
    x = 2,787,806.98/1,900.90
  6. Step 6: Final answer
    x = 1,466.58

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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.