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Finding the Fourth Proportional to 1,456.14, 1,995.03 and 1,437.93

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Solution

The fourth proportional to 1,456.14, 1,995.03 and 1,437.93 is: 1,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.14 : 1,995.03 = 1,437.93 : x
  2. Step 2: Convert to fraction form
    1,456.14/1,995.03 = 1,437.93/x
  3. Step 3: Cross multiply
    1,456.14x = 1,995.03 × 1,437.93
  4. Step 4: Simplify right side
    1,456.14x = 2,868,713.49
  5. Step 5: Solve for x
    x = 2,868,713.49/1,456.14
  6. Step 6: Final answer
    x = 1,970.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.