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Finding the Fourth Proportional to 2,952.91, 4,075.03 and 1,774.67

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Solution

The fourth proportional to 2,952.91, 4,075.03 and 1,774.67 is: 2,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.91 : 4,075.03 = 1,774.67 : x
  2. Step 2: Convert to fraction form
    2,952.91/4,075.03 = 1,774.67/x
  3. Step 3: Cross multiply
    2,952.91x = 4,075.03 × 1,774.67
  4. Step 4: Simplify right side
    2,952.91x = 7,231,831.79
  5. Step 5: Solve for x
    x = 7,231,831.79/2,952.91
  6. Step 6: Final answer
    x = 2,449.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.