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Finding the Fourth Proportional to 2,088.69, 3,132.01 and 790.26

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Solution

The fourth proportional to 2,088.69, 3,132.01 and 790.26 is: 1,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.69 : 3,132.01 = 790.26 : x
  2. Step 2: Convert to fraction form
    2,088.69/3,132.01 = 790.26/x
  3. Step 3: Cross multiply
    2,088.69x = 3,132.01 × 790.26
  4. Step 4: Simplify right side
    2,088.69x = 2,475,102.22
  5. Step 5: Solve for x
    x = 2,475,102.22/2,088.69
  6. Step 6: Final answer
    x = 1,185.00

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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.