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Finding the Fourth Proportional to 1,404.53, 2,105.15 and 1,056.74

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Solution

The fourth proportional to 1,404.53, 2,105.15 and 1,056.74 is: 1,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.53 : 2,105.15 = 1,056.74 : x
  2. Step 2: Convert to fraction form
    1,404.53/2,105.15 = 1,056.74/x
  3. Step 3: Cross multiply
    1,404.53x = 2,105.15 × 1,056.74
  4. Step 4: Simplify right side
    1,404.53x = 2,224,597.51
  5. Step 5: Solve for x
    x = 2,224,597.51/1,404.53
  6. Step 6: Final answer
    x = 1,583.88

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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.