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Finding the Fourth Proportional to 2,400.86, 3,592.36 and 2,106.98

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Solution

The fourth proportional to 2,400.86, 3,592.36 and 2,106.98 is: 3,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.86 : 3,592.36 = 2,106.98 : x
  2. Step 2: Convert to fraction form
    2,400.86/3,592.36 = 2,106.98/x
  3. Step 3: Cross multiply
    2,400.86x = 3,592.36 × 2,106.98
  4. Step 4: Simplify right side
    2,400.86x = 7,569,030.67
  5. Step 5: Solve for x
    x = 7,569,030.67/2,400.86
  6. Step 6: Final answer
    x = 3,152.63

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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.