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Finding the Fourth Proportional to 2,291.95, 3,437.23 and 975.67

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Solution

The fourth proportional to 2,291.95, 3,437.23 and 975.67 is: 1,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.95 : 3,437.23 = 975.67 : x
  2. Step 2: Convert to fraction form
    2,291.95/3,437.23 = 975.67/x
  3. Step 3: Cross multiply
    2,291.95x = 3,437.23 × 975.67
  4. Step 4: Simplify right side
    2,291.95x = 3,353,602.19
  5. Step 5: Solve for x
    x = 3,353,602.19/2,291.95
  6. Step 6: Final answer
    x = 1,463.21

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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.