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Finding the Fourth Proportional to 2,376, 3,560.36 and 1,594.35

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Solution

The fourth proportional to 2,376, 3,560.36 and 1,594.35 is: 2,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,560.36 = 1,594.35 : x
  2. Step 2: Convert to fraction form
    2,376/3,560.36 = 1,594.35/x
  3. Step 3: Cross multiply
    2,376x = 3,560.36 × 1,594.35
  4. Step 4: Simplify right side
    2,376x = 5,676,451.99
  5. Step 5: Solve for x
    x = 5,676,451.99/2,376
  6. Step 6: Final answer
    x = 2,389.08

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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.