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Finding the Fourth Proportional to 1,285.12, 1,927.62 and 348.10

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Solution

The fourth proportional to 1,285.12, 1,927.62 and 348.10 is: 522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.12 : 1,927.62 = 348.10 : x
  2. Step 2: Convert to fraction form
    1,285.12/1,927.62 = 348.10/x
  3. Step 3: Cross multiply
    1,285.12x = 1,927.62 × 348.10
  4. Step 4: Simplify right side
    1,285.12x = 671,004.52
  5. Step 5: Solve for x
    x = 671,004.52/1,285.12
  6. Step 6: Final answer
    x = 522.13

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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.