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Finding the Fourth Proportional to 1,960.56, 2,938.08 and 1,547.88

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Solution

The fourth proportional to 1,960.56, 2,938.08 and 1,547.88 is: 2,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.56 : 2,938.08 = 1,547.88 : x
  2. Step 2: Convert to fraction form
    1,960.56/2,938.08 = 1,547.88/x
  3. Step 3: Cross multiply
    1,960.56x = 2,938.08 × 1,547.88
  4. Step 4: Simplify right side
    1,960.56x = 4,547,795.27
  5. Step 5: Solve for x
    x = 4,547,795.27/1,960.56
  6. Step 6: Final answer
    x = 2,319.64

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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.