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Finding the Fourth Proportional to 1,969.66, 2,953.63 and 1,045.01

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Solution

The fourth proportional to 1,969.66, 2,953.63 and 1,045.01 is: 1,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.66 : 2,953.63 = 1,045.01 : x
  2. Step 2: Convert to fraction form
    1,969.66/2,953.63 = 1,045.01/x
  3. Step 3: Cross multiply
    1,969.66x = 2,953.63 × 1,045.01
  4. Step 4: Simplify right side
    1,969.66x = 3,086,581.58
  5. Step 5: Solve for x
    x = 3,086,581.58/1,969.66
  6. Step 6: Final answer
    x = 1,567.06

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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.