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Finding the Fourth Proportional to 2,307.06, 3,458.92 and 900.28

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Solution

The fourth proportional to 2,307.06, 3,458.92 and 900.28 is: 1,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.06 : 3,458.92 = 900.28 : x
  2. Step 2: Convert to fraction form
    2,307.06/3,458.92 = 900.28/x
  3. Step 3: Cross multiply
    2,307.06x = 3,458.92 × 900.28
  4. Step 4: Simplify right side
    2,307.06x = 3,114,007.22
  5. Step 5: Solve for x
    x = 3,114,007.22/2,307.06
  6. Step 6: Final answer
    x = 1,349.77

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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.