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Finding the Fourth Proportional to 1,564.94, 2,159.02 and 1,034.07

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Solution

The fourth proportional to 1,564.94, 2,159.02 and 1,034.07 is: 1,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.94 : 2,159.02 = 1,034.07 : x
  2. Step 2: Convert to fraction form
    1,564.94/2,159.02 = 1,034.07/x
  3. Step 3: Cross multiply
    1,564.94x = 2,159.02 × 1,034.07
  4. Step 4: Simplify right side
    1,564.94x = 2,232,580.62
  5. Step 5: Solve for x
    x = 2,232,580.62/1,564.94
  6. Step 6: Final answer
    x = 1,426.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.