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Finding the Fourth Proportional to 2,059.50, 3,088.95 and 760.74

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Solution

The fourth proportional to 2,059.50, 3,088.95 and 760.74 is: 1,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.50 : 3,088.95 = 760.74 : x
  2. Step 2: Convert to fraction form
    2,059.50/3,088.95 = 760.74/x
  3. Step 3: Cross multiply
    2,059.50x = 3,088.95 × 760.74
  4. Step 4: Simplify right side
    2,059.50x = 2,349,887.82
  5. Step 5: Solve for x
    x = 2,349,887.82/2,059.50
  6. Step 6: Final answer
    x = 1,141.00

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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.