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Finding the Fourth Proportional to 2,790.02, 4,185.02 and 1,058.64

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Solution

The fourth proportional to 2,790.02, 4,185.02 and 1,058.64 is: 1,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.02 : 4,185.02 = 1,058.64 : x
  2. Step 2: Convert to fraction form
    2,790.02/4,185.02 = 1,058.64/x
  3. Step 3: Cross multiply
    2,790.02x = 4,185.02 × 1,058.64
  4. Step 4: Simplify right side
    2,790.02x = 4,430,429.57
  5. Step 5: Solve for x
    x = 4,430,429.57/2,790.02
  6. Step 6: Final answer
    x = 1,587.96

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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.