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Finding the Fourth Proportional to 1,564.62, 2,158.54 and 1,440.28

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Solution

The fourth proportional to 1,564.62, 2,158.54 and 1,440.28 is: 1,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.62 : 2,158.54 = 1,440.28 : x
  2. Step 2: Convert to fraction form
    1,564.62/2,158.54 = 1,440.28/x
  3. Step 3: Cross multiply
    1,564.62x = 2,158.54 × 1,440.28
  4. Step 4: Simplify right side
    1,564.62x = 3,108,901.99
  5. Step 5: Solve for x
    x = 3,108,901.99/1,564.62
  6. Step 6: Final answer
    x = 1,987.00

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