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Finding the Fourth Proportional to 2,300.74, 3,448.70 and 1,001.86

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Solution

The fourth proportional to 2,300.74, 3,448.70 and 1,001.86 is: 1,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.74 : 3,448.70 = 1,001.86 : x
  2. Step 2: Convert to fraction form
    2,300.74/3,448.70 = 1,001.86/x
  3. Step 3: Cross multiply
    2,300.74x = 3,448.70 × 1,001.86
  4. Step 4: Simplify right side
    2,300.74x = 3,455,114.58
  5. Step 5: Solve for x
    x = 3,455,114.58/2,300.74
  6. Step 6: Final answer
    x = 1,501.74

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