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Finding the Fourth Proportional to 1,564.58, 2,345.05 and 913.95

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Solution

The fourth proportional to 1,564.58, 2,345.05 and 913.95 is: 1,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.58 : 2,345.05 = 913.95 : x
  2. Step 2: Convert to fraction form
    1,564.58/2,345.05 = 913.95/x
  3. Step 3: Cross multiply
    1,564.58x = 2,345.05 × 913.95
  4. Step 4: Simplify right side
    1,564.58x = 2,143,258.45
  5. Step 5: Solve for x
    x = 2,143,258.45/1,564.58
  6. Step 6: Final answer
    x = 1,369.86

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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.