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Finding the Fourth Proportional to 1,547.95, 2,136.20 and 849.32

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Solution

The fourth proportional to 1,547.95, 2,136.20 and 849.32 is: 1,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.95 : 2,136.20 = 849.32 : x
  2. Step 2: Convert to fraction form
    1,547.95/2,136.20 = 849.32/x
  3. Step 3: Cross multiply
    1,547.95x = 2,136.20 × 849.32
  4. Step 4: Simplify right side
    1,547.95x = 1,814,317.38
  5. Step 5: Solve for x
    x = 1,814,317.38/1,547.95
  6. Step 6: Final answer
    x = 1,172.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.