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Finding the Fourth Proportional to 1,389.10, 1,917.36 and 917.34

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Solution

The fourth proportional to 1,389.10, 1,917.36 and 917.34 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.10 : 1,917.36 = 917.34 : x
  2. Step 2: Convert to fraction form
    1,389.10/1,917.36 = 917.34/x
  3. Step 3: Cross multiply
    1,389.10x = 1,917.36 × 917.34
  4. Step 4: Simplify right side
    1,389.10x = 1,758,871.02
  5. Step 5: Solve for x
    x = 1,758,871.02/1,389.10
  6. Step 6: Final answer
    x = 1,266.19

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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.