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Finding the Fourth Proportional to 1,870.36, 2,580.02 and 1,649.84

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Solution

The fourth proportional to 1,870.36, 2,580.02 and 1,649.84 is: 2,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.36 : 2,580.02 = 1,649.84 : x
  2. Step 2: Convert to fraction form
    1,870.36/2,580.02 = 1,649.84/x
  3. Step 3: Cross multiply
    1,870.36x = 2,580.02 × 1,649.84
  4. Step 4: Simplify right side
    1,870.36x = 4,256,620.20
  5. Step 5: Solve for x
    x = 4,256,620.20/1,870.36
  6. Step 6: Final answer
    x = 2,275.83

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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.