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Finding the Fourth Proportional to 1,460.57, 2,011.05 and 1,140.71

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Solution

The fourth proportional to 1,460.57, 2,011.05 and 1,140.71 is: 1,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.57 : 2,011.05 = 1,140.71 : x
  2. Step 2: Convert to fraction form
    1,460.57/2,011.05 = 1,140.71/x
  3. Step 3: Cross multiply
    1,460.57x = 2,011.05 × 1,140.71
  4. Step 4: Simplify right side
    1,460.57x = 2,294,014.79
  5. Step 5: Solve for x
    x = 2,294,014.79/1,460.57
  6. Step 6: Final answer
    x = 1,570.64

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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.