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Finding the Fourth Proportional to 1,547.98, 2,322.24 and 854.35

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Solution

The fourth proportional to 1,547.98, 2,322.24 and 854.35 is: 1,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.98 : 2,322.24 = 854.35 : x
  2. Step 2: Convert to fraction form
    1,547.98/2,322.24 = 854.35/x
  3. Step 3: Cross multiply
    1,547.98x = 2,322.24 × 854.35
  4. Step 4: Simplify right side
    1,547.98x = 1,984,005.74
  5. Step 5: Solve for x
    x = 1,984,005.74/1,547.98
  6. Step 6: Final answer
    x = 1,281.67

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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.