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Finding the Fourth Proportional to 2,699.96, 4,042.93 and 2,312.45

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Solution

The fourth proportional to 2,699.96, 4,042.93 and 2,312.45 is: 3,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.96 : 4,042.93 = 2,312.45 : x
  2. Step 2: Convert to fraction form
    2,699.96/4,042.93 = 2,312.45/x
  3. Step 3: Cross multiply
    2,699.96x = 4,042.93 × 2,312.45
  4. Step 4: Simplify right side
    2,699.96x = 9,349,089.37
  5. Step 5: Solve for x
    x = 9,349,089.37/2,699.96
  6. Step 6: Final answer
    x = 3,462.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.