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Finding the Fourth Proportional to 3,074.56, 4,612.59 and 883.46

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Solution

The fourth proportional to 3,074.56, 4,612.59 and 883.46 is: 1,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.56 : 4,612.59 = 883.46 : x
  2. Step 2: Convert to fraction form
    3,074.56/4,612.59 = 883.46/x
  3. Step 3: Cross multiply
    3,074.56x = 4,612.59 × 883.46
  4. Step 4: Simplify right side
    3,074.56x = 4,075,038.76
  5. Step 5: Solve for x
    x = 4,075,038.76/3,074.56
  6. Step 6: Final answer
    x = 1,325.41

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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.