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Finding the Fourth Proportional to 2,292.42, 3,430.41 and 1,985.32

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Solution

The fourth proportional to 2,292.42, 3,430.41 and 1,985.32 is: 2,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.42 : 3,430.41 = 1,985.32 : x
  2. Step 2: Convert to fraction form
    2,292.42/3,430.41 = 1,985.32/x
  3. Step 3: Cross multiply
    2,292.42x = 3,430.41 × 1,985.32
  4. Step 4: Simplify right side
    2,292.42x = 6,810,461.58
  5. Step 5: Solve for x
    x = 6,810,461.58/2,292.42
  6. Step 6: Final answer
    x = 2,970.86

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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.