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Finding the Fourth Proportional to 1,919.56, 2,876.10 and 1,534

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Solution

The fourth proportional to 1,919.56, 2,876.10 and 1,534 is: 2,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.56 : 2,876.10 = 1,534 : x
  2. Step 2: Convert to fraction form
    1,919.56/2,876.10 = 1,534/x
  3. Step 3: Cross multiply
    1,919.56x = 2,876.10 × 1,534
  4. Step 4: Simplify right side
    1,919.56x = 4,411,937.40
  5. Step 5: Solve for x
    x = 4,411,937.40/1,919.56
  6. Step 6: Final answer
    x = 2,298.41

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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.