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Finding the Fourth Proportional to 1,718.34, 2,575.71 and 895.74

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Solution

The fourth proportional to 1,718.34, 2,575.71 and 895.74 is: 1,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.34 : 2,575.71 = 895.74 : x
  2. Step 2: Convert to fraction form
    1,718.34/2,575.71 = 895.74/x
  3. Step 3: Cross multiply
    1,718.34x = 2,575.71 × 895.74
  4. Step 4: Simplify right side
    1,718.34x = 2,307,166.48
  5. Step 5: Solve for x
    x = 2,307,166.48/1,718.34
  6. Step 6: Final answer
    x = 1,342.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.