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Finding the Fourth Proportional to 2,509.04, 3,764.16 and 777.66

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Solution

The fourth proportional to 2,509.04, 3,764.16 and 777.66 is: 1,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.04 : 3,764.16 = 777.66 : x
  2. Step 2: Convert to fraction form
    2,509.04/3,764.16 = 777.66/x
  3. Step 3: Cross multiply
    2,509.04x = 3,764.16 × 777.66
  4. Step 4: Simplify right side
    2,509.04x = 2,927,236.67
  5. Step 5: Solve for x
    x = 2,927,236.67/2,509.04
  6. Step 6: Final answer
    x = 1,166.68

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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.