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Finding the Fourth Proportional to 1,667.79, 2,501.94 and 802.10

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Solution

The fourth proportional to 1,667.79, 2,501.94 and 802.10 is: 1,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.79 : 2,501.94 = 802.10 : x
  2. Step 2: Convert to fraction form
    1,667.79/2,501.94 = 802.10/x
  3. Step 3: Cross multiply
    1,667.79x = 2,501.94 × 802.10
  4. Step 4: Simplify right side
    1,667.79x = 2,006,793.56
  5. Step 5: Solve for x
    x = 2,006,793.56/1,667.79
  6. Step 6: Final answer
    x = 1,203.27

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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.