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Finding the Fourth Proportional to 2,164.59, 2,987.28 and 1,870.56

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Solution

The fourth proportional to 2,164.59, 2,987.28 and 1,870.56 is: 2,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.59 : 2,987.28 = 1,870.56 : x
  2. Step 2: Convert to fraction form
    2,164.59/2,987.28 = 1,870.56/x
  3. Step 3: Cross multiply
    2,164.59x = 2,987.28 × 1,870.56
  4. Step 4: Simplify right side
    2,164.59x = 5,587,886.48
  5. Step 5: Solve for x
    x = 5,587,886.48/2,164.59
  6. Step 6: Final answer
    x = 2,581.50

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