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Finding the Fourth Proportional to 2,602.12, 3,590.93 and 1,423.19

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Solution

The fourth proportional to 2,602.12, 3,590.93 and 1,423.19 is: 1,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.12 : 3,590.93 = 1,423.19 : x
  2. Step 2: Convert to fraction form
    2,602.12/3,590.93 = 1,423.19/x
  3. Step 3: Cross multiply
    2,602.12x = 3,590.93 × 1,423.19
  4. Step 4: Simplify right side
    2,602.12x = 5,110,575.67
  5. Step 5: Solve for x
    x = 5,110,575.67/2,602.12
  6. Step 6: Final answer
    x = 1,964.00

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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.