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Finding the Fourth Proportional to 2,186.59, 3,019.64 and 1,870.03

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Solution

The fourth proportional to 2,186.59, 3,019.64 and 1,870.03 is: 2,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.59 : 3,019.64 = 1,870.03 : x
  2. Step 2: Convert to fraction form
    2,186.59/3,019.64 = 1,870.03/x
  3. Step 3: Cross multiply
    2,186.59x = 3,019.64 × 1,870.03
  4. Step 4: Simplify right side
    2,186.59x = 5,646,817.39
  5. Step 5: Solve for x
    x = 5,646,817.39/2,186.59
  6. Step 6: Final answer
    x = 2,582.48

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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.