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Finding the Fourth Proportional to 1,970.56, 2,956.16 and 584.03

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Solution

The fourth proportional to 1,970.56, 2,956.16 and 584.03 is: 876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.56 : 2,956.16 = 584.03 : x
  2. Step 2: Convert to fraction form
    1,970.56/2,956.16 = 584.03/x
  3. Step 3: Cross multiply
    1,970.56x = 2,956.16 × 584.03
  4. Step 4: Simplify right side
    1,970.56x = 1,726,486.12
  5. Step 5: Solve for x
    x = 1,726,486.12/1,970.56
  6. Step 6: Final answer
    x = 876.14

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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.