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Finding the Fourth Proportional to 2,290.94, 3,158.54 and 1,870.88

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Solution

The fourth proportional to 2,290.94, 3,158.54 and 1,870.88 is: 2,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.94 : 3,158.54 = 1,870.88 : x
  2. Step 2: Convert to fraction form
    2,290.94/3,158.54 = 1,870.88/x
  3. Step 3: Cross multiply
    2,290.94x = 3,158.54 × 1,870.88
  4. Step 4: Simplify right side
    2,290.94x = 5,909,249.32
  5. Step 5: Solve for x
    x = 5,909,249.32/2,290.94
  6. Step 6: Final answer
    x = 2,579.40

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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.