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Finding the Fourth Proportional to 1,785.64, 2,683.50 and 1,055.56

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Solution

The fourth proportional to 1,785.64, 2,683.50 and 1,055.56 is: 1,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.64 : 2,683.50 = 1,055.56 : x
  2. Step 2: Convert to fraction form
    1,785.64/2,683.50 = 1,055.56/x
  3. Step 3: Cross multiply
    1,785.64x = 2,683.50 × 1,055.56
  4. Step 4: Simplify right side
    1,785.64x = 2,832,595.26
  5. Step 5: Solve for x
    x = 2,832,595.26/1,785.64
  6. Step 6: Final answer
    x = 1,586.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.