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Finding the Fourth Proportional to 1,497.57, 2,241.55 and 802.50

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Solution

The fourth proportional to 1,497.57, 2,241.55 and 802.50 is: 1,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.57 : 2,241.55 = 802.50 : x
  2. Step 2: Convert to fraction form
    1,497.57/2,241.55 = 802.50/x
  3. Step 3: Cross multiply
    1,497.57x = 2,241.55 × 802.50
  4. Step 4: Simplify right side
    1,497.57x = 1,798,843.88
  5. Step 5: Solve for x
    x = 1,798,843.88/1,497.57
  6. Step 6: Final answer
    x = 1,201.18

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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.