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Finding the Fourth Proportional to 1,925.10, 2,889.96 and 1,509.90

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Solution

The fourth proportional to 1,925.10, 2,889.96 and 1,509.90 is: 2,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.10 : 2,889.96 = 1,509.90 : x
  2. Step 2: Convert to fraction form
    1,925.10/2,889.96 = 1,509.90/x
  3. Step 3: Cross multiply
    1,925.10x = 2,889.96 × 1,509.90
  4. Step 4: Simplify right side
    1,925.10x = 4,363,550.60
  5. Step 5: Solve for x
    x = 4,363,550.60/1,925.10
  6. Step 6: Final answer
    x = 2,266.66

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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.