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Finding the Fourth Proportional to 1,948.53, 2,923.54 and 716.79

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Solution

The fourth proportional to 1,948.53, 2,923.54 and 716.79 is: 1,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.53 : 2,923.54 = 716.79 : x
  2. Step 2: Convert to fraction form
    1,948.53/2,923.54 = 716.79/x
  3. Step 3: Cross multiply
    1,948.53x = 2,923.54 × 716.79
  4. Step 4: Simplify right side
    1,948.53x = 2,095,564.24
  5. Step 5: Solve for x
    x = 2,095,564.24/1,948.53
  6. Step 6: Final answer
    x = 1,075.46

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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.