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Finding the Fourth Proportional to 2,430, 3,646.80 and 891.12

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Solution

The fourth proportional to 2,430, 3,646.80 and 891.12 is: 1,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,646.80 = 891.12 : x
  2. Step 2: Convert to fraction form
    2,430/3,646.80 = 891.12/x
  3. Step 3: Cross multiply
    2,430x = 3,646.80 × 891.12
  4. Step 4: Simplify right side
    2,430x = 3,249,736.42
  5. Step 5: Solve for x
    x = 3,249,736.42/2,430
  6. Step 6: Final answer
    x = 1,337.34

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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.