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Finding the Fourth Proportional to 1,377.61, 2,054.06 and 1,353.00

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Solution

The fourth proportional to 1,377.61, 2,054.06 and 1,353.00 is: 2,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.61 : 2,054.06 = 1,353.00 : x
  2. Step 2: Convert to fraction form
    1,377.61/2,054.06 = 1,353.00/x
  3. Step 3: Cross multiply
    1,377.61x = 2,054.06 × 1,353.00
  4. Step 4: Simplify right side
    1,377.61x = 2,779,149.19
  5. Step 5: Solve for x
    x = 2,779,149.19/1,377.61
  6. Step 6: Final answer
    x = 2,017.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.