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Finding the Fourth Proportional to 1,786.52, 2,465.42 and 1,030.13

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Solution

The fourth proportional to 1,786.52, 2,465.42 and 1,030.13 is: 1,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.52 : 2,465.42 = 1,030.13 : x
  2. Step 2: Convert to fraction form
    1,786.52/2,465.42 = 1,030.13/x
  3. Step 3: Cross multiply
    1,786.52x = 2,465.42 × 1,030.13
  4. Step 4: Simplify right side
    1,786.52x = 2,539,703.10
  5. Step 5: Solve for x
    x = 2,539,703.10/1,786.52
  6. Step 6: Final answer
    x = 1,421.59

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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.