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Finding the Fourth Proportional to 1,970.42, 2,955.76 and 654.10

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Solution

The fourth proportional to 1,970.42, 2,955.76 and 654.10 is: 981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.42 : 2,955.76 = 654.10 : x
  2. Step 2: Convert to fraction form
    1,970.42/2,955.76 = 654.10/x
  3. Step 3: Cross multiply
    1,970.42x = 2,955.76 × 654.10
  4. Step 4: Simplify right side
    1,970.42x = 1,933,353.59
  5. Step 5: Solve for x
    x = 1,933,353.59/1,970.42
  6. Step 6: Final answer
    x = 981.19

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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.