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Finding the Fourth Proportional to 1,546.69, 2,317.70 and 929.72

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Solution

The fourth proportional to 1,546.69, 2,317.70 and 929.72 is: 1,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.69 : 2,317.70 = 929.72 : x
  2. Step 2: Convert to fraction form
    1,546.69/2,317.70 = 929.72/x
  3. Step 3: Cross multiply
    1,546.69x = 2,317.70 × 929.72
  4. Step 4: Simplify right side
    1,546.69x = 2,154,802.78
  5. Step 5: Solve for x
    x = 2,154,802.78/1,546.69
  6. Step 6: Final answer
    x = 1,393.17

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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.