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Finding the Fourth Proportional to 1,919.19, 2,879.40 and 1,457.49

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Solution

The fourth proportional to 1,919.19, 2,879.40 and 1,457.49 is: 2,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.19 : 2,879.40 = 1,457.49 : x
  2. Step 2: Convert to fraction form
    1,919.19/2,879.40 = 1,457.49/x
  3. Step 3: Cross multiply
    1,919.19x = 2,879.40 × 1,457.49
  4. Step 4: Simplify right side
    1,919.19x = 4,196,696.71
  5. Step 5: Solve for x
    x = 4,196,696.71/1,919.19
  6. Step 6: Final answer
    x = 2,186.70

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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.