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Finding the Fourth Proportional to 1,398.36, 2,097.23 and 848.57

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Solution

The fourth proportional to 1,398.36, 2,097.23 and 848.57 is: 1,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.36 : 2,097.23 = 848.57 : x
  2. Step 2: Convert to fraction form
    1,398.36/2,097.23 = 848.57/x
  3. Step 3: Cross multiply
    1,398.36x = 2,097.23 × 848.57
  4. Step 4: Simplify right side
    1,398.36x = 1,779,646.46
  5. Step 5: Solve for x
    x = 1,779,646.46/1,398.36
  6. Step 6: Final answer
    x = 1,272.67

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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.