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Finding the Fourth Proportional to 1,785.64, 2,464.22 and 1,087

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Solution

The fourth proportional to 1,785.64, 2,464.22 and 1,087 is: 1,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.64 : 2,464.22 = 1,087 : x
  2. Step 2: Convert to fraction form
    1,785.64/2,464.22 = 1,087/x
  3. Step 3: Cross multiply
    1,785.64x = 2,464.22 × 1,087
  4. Step 4: Simplify right side
    1,785.64x = 2,678,607.14
  5. Step 5: Solve for x
    x = 2,678,607.14/1,785.64
  6. Step 6: Final answer
    x = 1,500.08

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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.