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Finding the Fourth Proportional to 1,822.40, 2,514.78 and 1,036.40

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Solution

The fourth proportional to 1,822.40, 2,514.78 and 1,036.40 is: 1,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.40 : 2,514.78 = 1,036.40 : x
  2. Step 2: Convert to fraction form
    1,822.40/2,514.78 = 1,036.40/x
  3. Step 3: Cross multiply
    1,822.40x = 2,514.78 × 1,036.40
  4. Step 4: Simplify right side
    1,822.40x = 2,606,317.99
  5. Step 5: Solve for x
    x = 2,606,317.99/1,822.40
  6. Step 6: Final answer
    x = 1,430.16

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