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Finding the Fourth Proportional to 1,437.94, 1,985.07 and 974.62

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Solution

The fourth proportional to 1,437.94, 1,985.07 and 974.62 is: 1,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.94 : 1,985.07 = 974.62 : x
  2. Step 2: Convert to fraction form
    1,437.94/1,985.07 = 974.62/x
  3. Step 3: Cross multiply
    1,437.94x = 1,985.07 × 974.62
  4. Step 4: Simplify right side
    1,437.94x = 1,934,688.92
  5. Step 5: Solve for x
    x = 1,934,688.92/1,437.94
  6. Step 6: Final answer
    x = 1,345.46

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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.