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Finding the Fourth Proportional to 1,783.16, 2,657.18 and 1,733

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Solution

The fourth proportional to 1,783.16, 2,657.18 and 1,733 is: 2,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.16 : 2,657.18 = 1,733 : x
  2. Step 2: Convert to fraction form
    1,783.16/2,657.18 = 1,733/x
  3. Step 3: Cross multiply
    1,783.16x = 2,657.18 × 1,733
  4. Step 4: Simplify right side
    1,783.16x = 4,604,892.94
  5. Step 5: Solve for x
    x = 4,604,892.94/1,783.16
  6. Step 6: Final answer
    x = 2,582.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.