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Finding the Fourth Proportional to 3,130.36, 4,695.56 and 790.36

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Solution

The fourth proportional to 3,130.36, 4,695.56 and 790.36 is: 1,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.36 : 4,695.56 = 790.36 : x
  2. Step 2: Convert to fraction form
    3,130.36/4,695.56 = 790.36/x
  3. Step 3: Cross multiply
    3,130.36x = 4,695.56 × 790.36
  4. Step 4: Simplify right side
    3,130.36x = 3,711,182.80
  5. Step 5: Solve for x
    x = 3,711,182.80/3,130.36
  6. Step 6: Final answer
    x = 1,185.55

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