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Finding the Fourth Proportional to 2,602.91, 3,592.08 and 1,423.98

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Solution

The fourth proportional to 2,602.91, 3,592.08 and 1,423.98 is: 1,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.91 : 3,592.08 = 1,423.98 : x
  2. Step 2: Convert to fraction form
    2,602.91/3,592.08 = 1,423.98/x
  3. Step 3: Cross multiply
    2,602.91x = 3,592.08 × 1,423.98
  4. Step 4: Simplify right side
    2,602.91x = 5,115,050.08
  5. Step 5: Solve for x
    x = 5,115,050.08/2,602.91
  6. Step 6: Final answer
    x = 1,965.13

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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.