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Finding the Fourth Proportional to 3,280, 4,526.72 and 1,808

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Solution

The fourth proportional to 3,280, 4,526.72 and 1,808 is: 2,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280 : 4,526.72 = 1,808 : x
  2. Step 2: Convert to fraction form
    3,280/4,526.72 = 1,808/x
  3. Step 3: Cross multiply
    3,280x = 4,526.72 × 1,808
  4. Step 4: Simplify right side
    3,280x = 8,184,309.76
  5. Step 5: Solve for x
    x = 8,184,309.76/3,280
  6. Step 6: Final answer
    x = 2,495.22

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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.