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Finding the Fourth Proportional to 2,055.51, 2,838 and 1,582.59

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Solution

The fourth proportional to 2,055.51, 2,838 and 1,582.59 is: 2,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.51 : 2,838 = 1,582.59 : x
  2. Step 2: Convert to fraction form
    2,055.51/2,838 = 1,582.59/x
  3. Step 3: Cross multiply
    2,055.51x = 2,838 × 1,582.59
  4. Step 4: Simplify right side
    2,055.51x = 4,491,390.42
  5. Step 5: Solve for x
    x = 4,491,390.42/2,055.51
  6. Step 6: Final answer
    x = 2,185.05

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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.