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Finding the Fourth Proportional to 2,366.36, 3,266.16 and 1,528

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Solution

The fourth proportional to 2,366.36, 3,266.16 and 1,528 is: 2,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.36 : 3,266.16 = 1,528 : x
  2. Step 2: Convert to fraction form
    2,366.36/3,266.16 = 1,528/x
  3. Step 3: Cross multiply
    2,366.36x = 3,266.16 × 1,528
  4. Step 4: Simplify right side
    2,366.36x = 4,990,692.48
  5. Step 5: Solve for x
    x = 4,990,692.48/2,366.36
  6. Step 6: Final answer
    x = 2,109.02

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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.