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Finding the Fourth Proportional to 2,038.08, 3,055.02 and 804.99

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Solution

The fourth proportional to 2,038.08, 3,055.02 and 804.99 is: 1,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.08 : 3,055.02 = 804.99 : x
  2. Step 2: Convert to fraction form
    2,038.08/3,055.02 = 804.99/x
  3. Step 3: Cross multiply
    2,038.08x = 3,055.02 × 804.99
  4. Step 4: Simplify right side
    2,038.08x = 2,459,260.55
  5. Step 5: Solve for x
    x = 2,459,260.55/2,038.08
  6. Step 6: Final answer
    x = 1,206.66

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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.