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Finding the Fourth Proportional to 2,947.58, 4,421.90 and 973.32

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Solution

The fourth proportional to 2,947.58, 4,421.90 and 973.32 is: 1,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.58 : 4,421.90 = 973.32 : x
  2. Step 2: Convert to fraction form
    2,947.58/4,421.90 = 973.32/x
  3. Step 3: Cross multiply
    2,947.58x = 4,421.90 × 973.32
  4. Step 4: Simplify right side
    2,947.58x = 4,303,918.84
  5. Step 5: Solve for x
    x = 4,303,918.84/2,947.58
  6. Step 6: Final answer
    x = 1,460.16

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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.