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Finding the Fourth Proportional to 1,663.46, 2,295.60 and 917.44

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Solution

The fourth proportional to 1,663.46, 2,295.60 and 917.44 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.46 : 2,295.60 = 917.44 : x
  2. Step 2: Convert to fraction form
    1,663.46/2,295.60 = 917.44/x
  3. Step 3: Cross multiply
    1,663.46x = 2,295.60 × 917.44
  4. Step 4: Simplify right side
    1,663.46x = 2,106,075.26
  5. Step 5: Solve for x
    x = 2,106,075.26/1,663.46
  6. Step 6: Final answer
    x = 1,266.08

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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.