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Finding the Fourth Proportional to 2,153.36, 2,971.16 and 1,368.40

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Solution

The fourth proportional to 2,153.36, 2,971.16 and 1,368.40 is: 1,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.36 : 2,971.16 = 1,368.40 : x
  2. Step 2: Convert to fraction form
    2,153.36/2,971.16 = 1,368.40/x
  3. Step 3: Cross multiply
    2,153.36x = 2,971.16 × 1,368.40
  4. Step 4: Simplify right side
    2,153.36x = 4,065,735.34
  5. Step 5: Solve for x
    x = 4,065,735.34/2,153.36
  6. Step 6: Final answer
    x = 1,888.09

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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.