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Finding the Fourth Proportional to 3,111, 4,666.50 and 802.50

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Solution

The fourth proportional to 3,111, 4,666.50 and 802.50 is: 1,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111 : 4,666.50 = 802.50 : x
  2. Step 2: Convert to fraction form
    3,111/4,666.50 = 802.50/x
  3. Step 3: Cross multiply
    3,111x = 4,666.50 × 802.50
  4. Step 4: Simplify right side
    3,111x = 3,744,866.25
  5. Step 5: Solve for x
    x = 3,744,866.25/3,111
  6. Step 6: Final answer
    x = 1,203.75

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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.