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Finding the Fourth Proportional to 1,870.62, 2,579.58 and 1,606.02

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Solution

The fourth proportional to 1,870.62, 2,579.58 and 1,606.02 is: 2,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.62 : 2,579.58 = 1,606.02 : x
  2. Step 2: Convert to fraction form
    1,870.62/2,579.58 = 1,606.02/x
  3. Step 3: Cross multiply
    1,870.62x = 2,579.58 × 1,606.02
  4. Step 4: Simplify right side
    1,870.62x = 4,142,857.07
  5. Step 5: Solve for x
    x = 4,142,857.07/1,870.62
  6. Step 6: Final answer
    x = 2,214.70

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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.