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Finding the Fourth Proportional to 1,802.80, 2,707.40 and 1,316.40

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Solution

The fourth proportional to 1,802.80, 2,707.40 and 1,316.40 is: 1,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.80 : 2,707.40 = 1,316.40 : x
  2. Step 2: Convert to fraction form
    1,802.80/2,707.40 = 1,316.40/x
  3. Step 3: Cross multiply
    1,802.80x = 2,707.40 × 1,316.40
  4. Step 4: Simplify right side
    1,802.80x = 3,564,021.36
  5. Step 5: Solve for x
    x = 3,564,021.36/1,802.80
  6. Step 6: Final answer
    x = 1,976.94

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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.