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Finding the Fourth Proportional to 1,869.48, 2,802.20 and 773.28

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Solution

The fourth proportional to 1,869.48, 2,802.20 and 773.28 is: 1,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.48 : 2,802.20 = 773.28 : x
  2. Step 2: Convert to fraction form
    1,869.48/2,802.20 = 773.28/x
  3. Step 3: Cross multiply
    1,869.48x = 2,802.20 × 773.28
  4. Step 4: Simplify right side
    1,869.48x = 2,166,881.35
  5. Step 5: Solve for x
    x = 2,166,881.35/1,869.48
  6. Step 6: Final answer
    x = 1,159.08

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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.