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Finding the Fourth Proportional to 1,842.58, 2,542.62 and 1,056.52

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Solution

The fourth proportional to 1,842.58, 2,542.62 and 1,056.52 is: 1,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.58 : 2,542.62 = 1,056.52 : x
  2. Step 2: Convert to fraction form
    1,842.58/2,542.62 = 1,056.52/x
  3. Step 3: Cross multiply
    1,842.58x = 2,542.62 × 1,056.52
  4. Step 4: Simplify right side
    1,842.58x = 2,686,328.88
  5. Step 5: Solve for x
    x = 2,686,328.88/1,842.58
  6. Step 6: Final answer
    x = 1,457.92

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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.