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Finding the Fourth Proportional to 2,533.17, 3,494.95 and 1,470.76

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Solution

The fourth proportional to 2,533.17, 3,494.95 and 1,470.76 is: 2,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.17 : 3,494.95 = 1,470.76 : x
  2. Step 2: Convert to fraction form
    2,533.17/3,494.95 = 1,470.76/x
  3. Step 3: Cross multiply
    2,533.17x = 3,494.95 × 1,470.76
  4. Step 4: Simplify right side
    2,533.17x = 5,140,220.25
  5. Step 5: Solve for x
    x = 5,140,220.25/2,533.17
  6. Step 6: Final answer
    x = 2,029.16

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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.