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Finding the Fourth Proportional to 1,918.06, 2,877.09 and 1,300.24

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Solution

The fourth proportional to 1,918.06, 2,877.09 and 1,300.24 is: 1,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.06 : 2,877.09 = 1,300.24 : x
  2. Step 2: Convert to fraction form
    1,918.06/2,877.09 = 1,300.24/x
  3. Step 3: Cross multiply
    1,918.06x = 2,877.09 × 1,300.24
  4. Step 4: Simplify right side
    1,918.06x = 3,740,897.35
  5. Step 5: Solve for x
    x = 3,740,897.35/1,918.06
  6. Step 6: Final answer
    x = 1,950.35

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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.