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Finding the Fourth Proportional to 2,870.74, 4,305.62 and 790.28

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Solution

The fourth proportional to 2,870.74, 4,305.62 and 790.28 is: 1,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.74 : 4,305.62 = 790.28 : x
  2. Step 2: Convert to fraction form
    2,870.74/4,305.62 = 790.28/x
  3. Step 3: Cross multiply
    2,870.74x = 4,305.62 × 790.28
  4. Step 4: Simplify right side
    2,870.74x = 3,402,641.42
  5. Step 5: Solve for x
    x = 3,402,641.42/2,870.74
  6. Step 6: Final answer
    x = 1,185.28

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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.