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Finding the Fourth Proportional to 1,355.63, 2,034.35 and 1,009.35

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Solution

The fourth proportional to 1,355.63, 2,034.35 and 1,009.35 is: 1,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.63 : 2,034.35 = 1,009.35 : x
  2. Step 2: Convert to fraction form
    1,355.63/2,034.35 = 1,009.35/x
  3. Step 3: Cross multiply
    1,355.63x = 2,034.35 × 1,009.35
  4. Step 4: Simplify right side
    1,355.63x = 2,053,366.13
  5. Step 5: Solve for x
    x = 2,053,366.13/1,355.63
  6. Step 6: Final answer
    x = 1,514.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.