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Finding the Fourth Proportional to 1,580.55, 2,368.91 and 1,118.47

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Solution

The fourth proportional to 1,580.55, 2,368.91 and 1,118.47 is: 1,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.55 : 2,368.91 = 1,118.47 : x
  2. Step 2: Convert to fraction form
    1,580.55/2,368.91 = 1,118.47/x
  3. Step 3: Cross multiply
    1,580.55x = 2,368.91 × 1,118.47
  4. Step 4: Simplify right side
    1,580.55x = 2,649,554.77
  5. Step 5: Solve for x
    x = 2,649,554.77/1,580.55
  6. Step 6: Final answer
    x = 1,676.35

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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.