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Finding the Fourth Proportional to 2,094.01, 2,888.06 and 1,854.99

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Solution

The fourth proportional to 2,094.01, 2,888.06 and 1,854.99 is: 2,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.01 : 2,888.06 = 1,854.99 : x
  2. Step 2: Convert to fraction form
    2,094.01/2,888.06 = 1,854.99/x
  3. Step 3: Cross multiply
    2,094.01x = 2,888.06 × 1,854.99
  4. Step 4: Simplify right side
    2,094.01x = 5,357,313.14
  5. Step 5: Solve for x
    x = 5,357,313.14/2,094.01
  6. Step 6: Final answer
    x = 2,558.40

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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.