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Finding the Fourth Proportional to 1,716, 2,566.68 and 1,056.24

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Solution

The fourth proportional to 1,716, 2,566.68 and 1,056.24 is: 1,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716 : 2,566.68 = 1,056.24 : x
  2. Step 2: Convert to fraction form
    1,716/2,566.68 = 1,056.24/x
  3. Step 3: Cross multiply
    1,716x = 2,566.68 × 1,056.24
  4. Step 4: Simplify right side
    1,716x = 2,711,030.08
  5. Step 5: Solve for x
    x = 2,711,030.08/1,716
  6. Step 6: Final answer
    x = 1,579.85

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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.