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Finding the Fourth Proportional to 1,663.08, 2,295.09 and 917.10

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Solution

The fourth proportional to 1,663.08, 2,295.09 and 917.10 is: 1,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.08 : 2,295.09 = 917.10 : x
  2. Step 2: Convert to fraction form
    1,663.08/2,295.09 = 917.10/x
  3. Step 3: Cross multiply
    1,663.08x = 2,295.09 × 917.10
  4. Step 4: Simplify right side
    1,663.08x = 2,104,827.04
  5. Step 5: Solve for x
    x = 2,104,827.04/1,663.08
  6. Step 6: Final answer
    x = 1,265.62

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1.5x scale

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.