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Finding the Fourth Proportional to 2,602.06, 3,590.76 and 1,423.12

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Solution

The fourth proportional to 2,602.06, 3,590.76 and 1,423.12 is: 1,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.06 : 3,590.76 = 1,423.12 : x
  2. Step 2: Convert to fraction form
    2,602.06/3,590.76 = 1,423.12/x
  3. Step 3: Cross multiply
    2,602.06x = 3,590.76 × 1,423.12
  4. Step 4: Simplify right side
    2,602.06x = 5,110,082.37
  5. Step 5: Solve for x
    x = 5,110,082.37/2,602.06
  6. Step 6: Final answer
    x = 1,963.86

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