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Finding the Fourth Proportional to 1,623.67, 2,435.62 and 583.55

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Solution

The fourth proportional to 1,623.67, 2,435.62 and 583.55 is: 875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.67 : 2,435.62 = 583.55 : x
  2. Step 2: Convert to fraction form
    1,623.67/2,435.62 = 583.55/x
  3. Step 3: Cross multiply
    1,623.67x = 2,435.62 × 583.55
  4. Step 4: Simplify right side
    1,623.67x = 1,421,316.34
  5. Step 5: Solve for x
    x = 1,421,316.34/1,623.67
  6. Step 6: Final answer
    x = 875.37

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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.