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Finding the Fourth Proportional to 3,001.83, 4,502.23 and 1,358

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Solution

The fourth proportional to 3,001.83, 4,502.23 and 1,358 is: 2,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.83 : 4,502.23 = 1,358 : x
  2. Step 2: Convert to fraction form
    3,001.83/4,502.23 = 1,358/x
  3. Step 3: Cross multiply
    3,001.83x = 4,502.23 × 1,358
  4. Step 4: Simplify right side
    3,001.83x = 6,114,028.34
  5. Step 5: Solve for x
    x = 6,114,028.34/3,001.83
  6. Step 6: Final answer
    x = 2,036.77

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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.