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Finding the Fourth Proportional to 3,001.35, 4,496.64 and 1,830.72

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Solution

The fourth proportional to 3,001.35, 4,496.64 and 1,830.72 is: 2,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.35 : 4,496.64 = 1,830.72 : x
  2. Step 2: Convert to fraction form
    3,001.35/4,496.64 = 1,830.72/x
  3. Step 3: Cross multiply
    3,001.35x = 4,496.64 × 1,830.72
  4. Step 4: Simplify right side
    3,001.35x = 8,232,088.78
  5. Step 5: Solve for x
    x = 8,232,088.78/3,001.35
  6. Step 6: Final answer
    x = 2,742.80

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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.