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Finding the Fourth Proportional to 1,954.48, 2,700.68 and 1,564.72

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Solution

The fourth proportional to 1,954.48, 2,700.68 and 1,564.72 is: 2,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.48 : 2,700.68 = 1,564.72 : x
  2. Step 2: Convert to fraction form
    1,954.48/2,700.68 = 1,564.72/x
  3. Step 3: Cross multiply
    1,954.48x = 2,700.68 × 1,564.72
  4. Step 4: Simplify right side
    1,954.48x = 4,225,808.01
  5. Step 5: Solve for x
    x = 4,225,808.01/1,954.48
  6. Step 6: Final answer
    x = 2,162.11

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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.