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Finding the Fourth Proportional to 1,437.95, 1,984.20 and 914.29

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Solution

The fourth proportional to 1,437.95, 1,984.20 and 914.29 is: 1,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.95 : 1,984.20 = 914.29 : x
  2. Step 2: Convert to fraction form
    1,437.95/1,984.20 = 914.29/x
  3. Step 3: Cross multiply
    1,437.95x = 1,984.20 × 914.29
  4. Step 4: Simplify right side
    1,437.95x = 1,814,125.83
  5. Step 5: Solve for x
    x = 1,814,125.83/1,437.95
  6. Step 6: Final answer
    x = 1,261.60

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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.