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Finding the Fourth Proportional to 1,368.90, 1,888.11 and 845.10

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Solution

The fourth proportional to 1,368.90, 1,888.11 and 845.10 is: 1,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.90 : 1,888.11 = 845.10 : x
  2. Step 2: Convert to fraction form
    1,368.90/1,888.11 = 845.10/x
  3. Step 3: Cross multiply
    1,368.90x = 1,888.11 × 845.10
  4. Step 4: Simplify right side
    1,368.90x = 1,595,641.76
  5. Step 5: Solve for x
    x = 1,595,641.76/1,368.90
  6. Step 6: Final answer
    x = 1,165.64

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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.