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Finding the Fourth Proportional to 1,437.69, 1,985.91 and 1,158.99

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Solution

The fourth proportional to 1,437.69, 1,985.91 and 1,158.99 is: 1,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.69 : 1,985.91 = 1,158.99 : x
  2. Step 2: Convert to fraction form
    1,437.69/1,985.91 = 1,158.99/x
  3. Step 3: Cross multiply
    1,437.69x = 1,985.91 × 1,158.99
  4. Step 4: Simplify right side
    1,437.69x = 2,301,649.83
  5. Step 5: Solve for x
    x = 2,301,649.83/1,437.69
  6. Step 6: Final answer
    x = 1,600.94

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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.