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Finding the Fourth Proportional to 1,918.50, 2,863.74 and 1,646.34

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Solution

The fourth proportional to 1,918.50, 2,863.74 and 1,646.34 is: 2,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.50 : 2,863.74 = 1,646.34 : x
  2. Step 2: Convert to fraction form
    1,918.50/2,863.74 = 1,646.34/x
  3. Step 3: Cross multiply
    1,918.50x = 2,863.74 × 1,646.34
  4. Step 4: Simplify right side
    1,918.50x = 4,714,678.97
  5. Step 5: Solve for x
    x = 4,714,678.97/1,918.50
  6. Step 6: Final answer
    x = 2,457.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.