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Finding the Fourth Proportional to 1,602.08, 2,211.04 and 903.32

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Solution

The fourth proportional to 1,602.08, 2,211.04 and 903.32 is: 1,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.08 : 2,211.04 = 903.32 : x
  2. Step 2: Convert to fraction form
    1,602.08/2,211.04 = 903.32/x
  3. Step 3: Cross multiply
    1,602.08x = 2,211.04 × 903.32
  4. Step 4: Simplify right side
    1,602.08x = 1,997,276.65
  5. Step 5: Solve for x
    x = 1,997,276.65/1,602.08
  6. Step 6: Final answer
    x = 1,246.68

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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.