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Finding the Fourth Proportional to 1,975.95, 2,963.93 and 589.78

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Solution

The fourth proportional to 1,975.95, 2,963.93 and 589.78 is: 884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.95 : 2,963.93 = 589.78 : x
  2. Step 2: Convert to fraction form
    1,975.95/2,963.93 = 589.78/x
  3. Step 3: Cross multiply
    1,975.95x = 2,963.93 × 589.78
  4. Step 4: Simplify right side
    1,975.95x = 1,748,066.64
  5. Step 5: Solve for x
    x = 1,748,066.64/1,975.95
  6. Step 6: Final answer
    x = 884.67

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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.