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Finding the Fourth Proportional to 1,719.84, 2,580.14 and 565.52

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Solution

The fourth proportional to 1,719.84, 2,580.14 and 565.52 is: 848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.84 : 2,580.14 = 565.52 : x
  2. Step 2: Convert to fraction form
    1,719.84/2,580.14 = 565.52/x
  3. Step 3: Cross multiply
    1,719.84x = 2,580.14 × 565.52
  4. Step 4: Simplify right side
    1,719.84x = 1,459,120.77
  5. Step 5: Solve for x
    x = 1,459,120.77/1,719.84
  6. Step 6: Final answer
    x = 848.40

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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.