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Finding the Fourth Proportional to 1,670.48, 2,302.60 and 1,315.84

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Solution

The fourth proportional to 1,670.48, 2,302.60 and 1,315.84 is: 1,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.48 : 2,302.60 = 1,315.84 : x
  2. Step 2: Convert to fraction form
    1,670.48/2,302.60 = 1,315.84/x
  3. Step 3: Cross multiply
    1,670.48x = 2,302.60 × 1,315.84
  4. Step 4: Simplify right side
    1,670.48x = 3,029,853.18
  5. Step 5: Solve for x
    x = 3,029,853.18/1,670.48
  6. Step 6: Final answer
    x = 1,813.76

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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.