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Finding the Fourth Proportional to 2,533.47, 3,802.13 and 1,655.72

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Solution

The fourth proportional to 2,533.47, 3,802.13 and 1,655.72 is: 2,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.47 : 3,802.13 = 1,655.72 : x
  2. Step 2: Convert to fraction form
    2,533.47/3,802.13 = 1,655.72/x
  3. Step 3: Cross multiply
    2,533.47x = 3,802.13 × 1,655.72
  4. Step 4: Simplify right side
    2,533.47x = 6,295,262.68
  5. Step 5: Solve for x
    x = 6,295,262.68/2,533.47
  6. Step 6: Final answer
    x = 2,484.84

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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.