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Finding the Fourth Proportional to 1,653.02, 2,282.70 and 1,064.57

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Solution

The fourth proportional to 1,653.02, 2,282.70 and 1,064.57 is: 1,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.02 : 2,282.70 = 1,064.57 : x
  2. Step 2: Convert to fraction form
    1,653.02/2,282.70 = 1,064.57/x
  3. Step 3: Cross multiply
    1,653.02x = 2,282.70 × 1,064.57
  4. Step 4: Simplify right side
    1,653.02x = 2,430,082.53
  5. Step 5: Solve for x
    x = 2,430,082.53/1,653.02
  6. Step 6: Final answer
    x = 1,470.09

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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.