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Finding the Fourth Proportional to 3,442.58, 4,750.75 and 1,870.67

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Solution

The fourth proportional to 3,442.58, 4,750.75 and 1,870.67 is: 2,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.58 : 4,750.75 = 1,870.67 : x
  2. Step 2: Convert to fraction form
    3,442.58/4,750.75 = 1,870.67/x
  3. Step 3: Cross multiply
    3,442.58x = 4,750.75 × 1,870.67
  4. Step 4: Simplify right side
    3,442.58x = 8,887,085.50
  5. Step 5: Solve for x
    x = 8,887,085.50/3,442.58
  6. Step 6: Final answer
    x = 2,581.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.