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Finding the Fourth Proportional to 2,359.98, 3,541.25 and 973.10

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Solution

The fourth proportional to 2,359.98, 3,541.25 and 973.10 is: 1,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.98 : 3,541.25 = 973.10 : x
  2. Step 2: Convert to fraction form
    2,359.98/3,541.25 = 973.10/x
  3. Step 3: Cross multiply
    2,359.98x = 3,541.25 × 973.10
  4. Step 4: Simplify right side
    2,359.98x = 3,445,990.38
  5. Step 5: Solve for x
    x = 3,445,990.38/2,359.98
  6. Step 6: Final answer
    x = 1,460.18

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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.