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Finding the Fourth Proportional to 1,828.48, 2,742.93 and 596.02

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Solution

The fourth proportional to 1,828.48, 2,742.93 and 596.02 is: 894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.48 : 2,742.93 = 596.02 : x
  2. Step 2: Convert to fraction form
    1,828.48/2,742.93 = 596.02/x
  3. Step 3: Cross multiply
    1,828.48x = 2,742.93 × 596.02
  4. Step 4: Simplify right side
    1,828.48x = 1,634,841.14
  5. Step 5: Solve for x
    x = 1,634,841.14/1,828.48
  6. Step 6: Final answer
    x = 894.10

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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.