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Finding the Fourth Proportional to 1,785.60, 2,673.54 and 918.09

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Solution

The fourth proportional to 1,785.60, 2,673.54 and 918.09 is: 1,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.60 : 2,673.54 = 918.09 : x
  2. Step 2: Convert to fraction form
    1,785.60/2,673.54 = 918.09/x
  3. Step 3: Cross multiply
    1,785.60x = 2,673.54 × 918.09
  4. Step 4: Simplify right side
    1,785.60x = 2,454,550.34
  5. Step 5: Solve for x
    x = 2,454,550.34/1,785.60
  6. Step 6: Final answer
    x = 1,374.64

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1.5x scale

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.