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Finding the Fourth Proportional to 1,898.07, 2,846.20 and 973.95

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Solution

The fourth proportional to 1,898.07, 2,846.20 and 973.95 is: 1,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.07 : 2,846.20 = 973.95 : x
  2. Step 2: Convert to fraction form
    1,898.07/2,846.20 = 973.95/x
  3. Step 3: Cross multiply
    1,898.07x = 2,846.20 × 973.95
  4. Step 4: Simplify right side
    1,898.07x = 2,772,056.49
  5. Step 5: Solve for x
    x = 2,772,056.49/1,898.07
  6. Step 6: Final answer
    x = 1,460.46

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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.