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Finding the Fourth Proportional to 1,602.96, 2,211.72 and 904.08

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Solution

The fourth proportional to 1,602.96, 2,211.72 and 904.08 is: 1,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.96 : 2,211.72 = 904.08 : x
  2. Step 2: Convert to fraction form
    1,602.96/2,211.72 = 904.08/x
  3. Step 3: Cross multiply
    1,602.96x = 2,211.72 × 904.08
  4. Step 4: Simplify right side
    1,602.96x = 1,999,571.82
  5. Step 5: Solve for x
    x = 1,999,571.82/1,602.96
  6. Step 6: Final answer
    x = 1,247.42

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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.