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Finding the Fourth Proportional to 2,388, 3,295.80 and 1,457.04

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Solution

The fourth proportional to 2,388, 3,295.80 and 1,457.04 is: 2,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388 : 3,295.80 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    2,388/3,295.80 = 1,457.04/x
  3. Step 3: Cross multiply
    2,388x = 3,295.80 × 1,457.04
  4. Step 4: Simplify right side
    2,388x = 4,802,112.43
  5. Step 5: Solve for x
    x = 4,802,112.43/2,388
  6. Step 6: Final answer
    x = 2,010.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.