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Finding the Fourth Proportional to 3,267.84, 4,509.54 and 1,870.50

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Solution

The fourth proportional to 3,267.84, 4,509.54 and 1,870.50 is: 2,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.84 : 4,509.54 = 1,870.50 : x
  2. Step 2: Convert to fraction form
    3,267.84/4,509.54 = 1,870.50/x
  3. Step 3: Cross multiply
    3,267.84x = 4,509.54 × 1,870.50
  4. Step 4: Simplify right side
    3,267.84x = 8,435,094.57
  5. Step 5: Solve for x
    x = 8,435,094.57/3,267.84
  6. Step 6: Final answer
    x = 2,581.24

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Why These Related Problems?

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