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Finding the Fourth Proportional to 1,969.56, 2,955.51 and 1,045.80

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Solution

The fourth proportional to 1,969.56, 2,955.51 and 1,045.80 is: 1,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.56 : 2,955.51 = 1,045.80 : x
  2. Step 2: Convert to fraction form
    1,969.56/2,955.51 = 1,045.80/x
  3. Step 3: Cross multiply
    1,969.56x = 2,955.51 × 1,045.80
  4. Step 4: Simplify right side
    1,969.56x = 3,090,872.36
  5. Step 5: Solve for x
    x = 3,090,872.36/1,969.56
  6. Step 6: Final answer
    x = 1,569.32

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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.