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Finding the Fourth Proportional to 1,241.61, 1,858.71 and 802.01

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Solution

The fourth proportional to 1,241.61, 1,858.71 and 802.01 is: 1,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.61 : 1,858.71 = 802.01 : x
  2. Step 2: Convert to fraction form
    1,241.61/1,858.71 = 802.01/x
  3. Step 3: Cross multiply
    1,241.61x = 1,858.71 × 802.01
  4. Step 4: Simplify right side
    1,241.61x = 1,490,704.69
  5. Step 5: Solve for x
    x = 1,490,704.69/1,241.61
  6. Step 6: Final answer
    x = 1,200.62

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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.