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Finding the Fourth Proportional to 2,469.84, 3,705.45 and 1,010.02

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Solution

The fourth proportional to 2,469.84, 3,705.45 and 1,010.02 is: 1,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.84 : 3,705.45 = 1,010.02 : x
  2. Step 2: Convert to fraction form
    2,469.84/3,705.45 = 1,010.02/x
  3. Step 3: Cross multiply
    2,469.84x = 3,705.45 × 1,010.02
  4. Step 4: Simplify right side
    2,469.84x = 3,742,572.51
  5. Step 5: Solve for x
    x = 3,742,572.51/2,469.84
  6. Step 6: Final answer
    x = 1,515.31

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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.