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Finding the Fourth Proportional to 1,390.54, 1,918.72 and 893.08

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Solution

The fourth proportional to 1,390.54, 1,918.72 and 893.08 is: 1,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.54 : 1,918.72 = 893.08 : x
  2. Step 2: Convert to fraction form
    1,390.54/1,918.72 = 893.08/x
  3. Step 3: Cross multiply
    1,390.54x = 1,918.72 × 893.08
  4. Step 4: Simplify right side
    1,390.54x = 1,713,570.46
  5. Step 5: Solve for x
    x = 1,713,570.46/1,390.54
  6. Step 6: Final answer
    x = 1,232.31

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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.