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Finding the Fourth Proportional to 2,116.64, 2,919.35 and 1,854.20

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Solution

The fourth proportional to 2,116.64, 2,919.35 and 1,854.20 is: 2,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.64 : 2,919.35 = 1,854.20 : x
  2. Step 2: Convert to fraction form
    2,116.64/2,919.35 = 1,854.20/x
  3. Step 3: Cross multiply
    2,116.64x = 2,919.35 × 1,854.20
  4. Step 4: Simplify right side
    2,116.64x = 5,413,048.81
  5. Step 5: Solve for x
    x = 5,413,048.81/2,116.64
  6. Step 6: Final answer
    x = 2,557.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.