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Finding the Fourth Proportional to 1,653.16, 2,280.90 and 1,302.76

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Solution

The fourth proportional to 1,653.16, 2,280.90 and 1,302.76 is: 1,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.16 : 2,280.90 = 1,302.76 : x
  2. Step 2: Convert to fraction form
    1,653.16/2,280.90 = 1,302.76/x
  3. Step 3: Cross multiply
    1,653.16x = 2,280.90 × 1,302.76
  4. Step 4: Simplify right side
    1,653.16x = 2,971,465.28
  5. Step 5: Solve for x
    x = 2,971,465.28/1,653.16
  6. Step 6: Final answer
    x = 1,797.45

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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.