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Finding the Fourth Proportional to 1,752.60, 2,624.04 and 1,533.90

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Solution

The fourth proportional to 1,752.60, 2,624.04 and 1,533.90 is: 2,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.60 : 2,624.04 = 1,533.90 : x
  2. Step 2: Convert to fraction form
    1,752.60/2,624.04 = 1,533.90/x
  3. Step 3: Cross multiply
    1,752.60x = 2,624.04 × 1,533.90
  4. Step 4: Simplify right side
    1,752.60x = 4,025,014.96
  5. Step 5: Solve for x
    x = 4,025,014.96/1,752.60
  6. Step 6: Final answer
    x = 2,296.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.