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Finding the Fourth Proportional to 1,780.10, 2,670.54 and 684.46

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Solution

The fourth proportional to 1,780.10, 2,670.54 and 684.46 is: 1,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.10 : 2,670.54 = 684.46 : x
  2. Step 2: Convert to fraction form
    1,780.10/2,670.54 = 684.46/x
  3. Step 3: Cross multiply
    1,780.10x = 2,670.54 × 684.46
  4. Step 4: Simplify right side
    1,780.10x = 1,827,877.81
  5. Step 5: Solve for x
    x = 1,827,877.81/1,780.10
  6. Step 6: Final answer
    x = 1,026.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.