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Finding the Fourth Proportional to 2,162.50, 2,985.42 and 1,323.40

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Solution

The fourth proportional to 2,162.50, 2,985.42 and 1,323.40 is: 1,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.50 : 2,985.42 = 1,323.40 : x
  2. Step 2: Convert to fraction form
    2,162.50/2,985.42 = 1,323.40/x
  3. Step 3: Cross multiply
    2,162.50x = 2,985.42 × 1,323.40
  4. Step 4: Simplify right side
    2,162.50x = 3,950,904.83
  5. Step 5: Solve for x
    x = 3,950,904.83/2,162.50
  6. Step 6: Final answer
    x = 1,827.01

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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.