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Finding the Fourth Proportional to 1,440.84, 2,159.64 and 619.56

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Solution

The fourth proportional to 1,440.84, 2,159.64 and 619.56 is: 928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.84 : 2,159.64 = 619.56 : x
  2. Step 2: Convert to fraction form
    1,440.84/2,159.64 = 619.56/x
  3. Step 3: Cross multiply
    1,440.84x = 2,159.64 × 619.56
  4. Step 4: Simplify right side
    1,440.84x = 1,338,026.56
  5. Step 5: Solve for x
    x = 1,338,026.56/1,440.84
  6. Step 6: Final answer
    x = 928.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.