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Finding the Fourth Proportional to 1,733.72, 2,392.23 and 1,646.15

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Solution

The fourth proportional to 1,733.72, 2,392.23 and 1,646.15 is: 2,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.72 : 2,392.23 = 1,646.15 : x
  2. Step 2: Convert to fraction form
    1,733.72/2,392.23 = 1,646.15/x
  3. Step 3: Cross multiply
    1,733.72x = 2,392.23 × 1,646.15
  4. Step 4: Simplify right side
    1,733.72x = 3,937,957.45
  5. Step 5: Solve for x
    x = 3,937,957.45/1,733.72
  6. Step 6: Final answer
    x = 2,271.40

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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.