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Finding the Fourth Proportional to 2,348.04, 3,240.36 and 1,416

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Solution

The fourth proportional to 2,348.04, 3,240.36 and 1,416 is: 1,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.04 : 3,240.36 = 1,416 : x
  2. Step 2: Convert to fraction form
    2,348.04/3,240.36 = 1,416/x
  3. Step 3: Cross multiply
    2,348.04x = 3,240.36 × 1,416
  4. Step 4: Simplify right side
    2,348.04x = 4,588,349.76
  5. Step 5: Solve for x
    x = 4,588,349.76/2,348.04
  6. Step 6: Final answer
    x = 1,954.12

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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.