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Finding the Fourth Proportional to 2,533.62, 3,495.83 and 1,470.77

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Solution

The fourth proportional to 2,533.62, 3,495.83 and 1,470.77 is: 2,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.62 : 3,495.83 = 1,470.77 : x
  2. Step 2: Convert to fraction form
    2,533.62/3,495.83 = 1,470.77/x
  3. Step 3: Cross multiply
    2,533.62x = 3,495.83 × 1,470.77
  4. Step 4: Simplify right side
    2,533.62x = 5,141,561.89
  5. Step 5: Solve for x
    x = 5,141,561.89/2,533.62
  6. Step 6: Final answer
    x = 2,029.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.