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Finding the Fourth Proportional to 3,054.66, 4,582 and 1,573.58

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Solution

The fourth proportional to 3,054.66, 4,582 and 1,573.58 is: 2,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.66 : 4,582 = 1,573.58 : x
  2. Step 2: Convert to fraction form
    3,054.66/4,582 = 1,573.58/x
  3. Step 3: Cross multiply
    3,054.66x = 4,582 × 1,573.58
  4. Step 4: Simplify right side
    3,054.66x = 7,210,143.56
  5. Step 5: Solve for x
    x = 7,210,143.56/3,054.66
  6. Step 6: Final answer
    x = 2,360.38

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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.