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Finding the Fourth Proportional to 1,853.70, 2,562.48 and 1,484.34

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Solution

The fourth proportional to 1,853.70, 2,562.48 and 1,484.34 is: 2,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.70 : 2,562.48 = 1,484.34 : x
  2. Step 2: Convert to fraction form
    1,853.70/2,562.48 = 1,484.34/x
  3. Step 3: Cross multiply
    1,853.70x = 2,562.48 × 1,484.34
  4. Step 4: Simplify right side
    1,853.70x = 3,803,591.56
  5. Step 5: Solve for x
    x = 3,803,591.56/1,853.70
  6. Step 6: Final answer
    x = 2,051.89

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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.