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Finding the Fourth Proportional to 1,780.34, 2,457.02 and 1,034.24

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Solution

The fourth proportional to 1,780.34, 2,457.02 and 1,034.24 is: 1,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.34 : 2,457.02 = 1,034.24 : x
  2. Step 2: Convert to fraction form
    1,780.34/2,457.02 = 1,034.24/x
  3. Step 3: Cross multiply
    1,780.34x = 2,457.02 × 1,034.24
  4. Step 4: Simplify right side
    1,780.34x = 2,541,138.67
  5. Step 5: Solve for x
    x = 2,541,138.67/1,780.34
  6. Step 6: Final answer
    x = 1,427.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.