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Finding the Fourth Proportional to 1,853.48, 2,547.10 and 1,767.82

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Solution

The fourth proportional to 1,853.48, 2,547.10 and 1,767.82 is: 2,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.48 : 2,547.10 = 1,767.82 : x
  2. Step 2: Convert to fraction form
    1,853.48/2,547.10 = 1,767.82/x
  3. Step 3: Cross multiply
    1,853.48x = 2,547.10 × 1,767.82
  4. Step 4: Simplify right side
    1,853.48x = 4,502,814.32
  5. Step 5: Solve for x
    x = 4,502,814.32/1,853.48
  6. Step 6: Final answer
    x = 2,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.