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Finding the Fourth Proportional to 1,560.39, 2,341.71 and 976.26

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Solution

The fourth proportional to 1,560.39, 2,341.71 and 976.26 is: 1,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.39 : 2,341.71 = 976.26 : x
  2. Step 2: Convert to fraction form
    1,560.39/2,341.71 = 976.26/x
  3. Step 3: Cross multiply
    1,560.39x = 2,341.71 × 976.26
  4. Step 4: Simplify right side
    1,560.39x = 2,286,117.80
  5. Step 5: Solve for x
    x = 2,286,117.80/1,560.39
  6. Step 6: Final answer
    x = 1,465.09

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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.