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Finding the Fourth Proportional to 4,602.76, 6,904.08 and 1,315.84

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Solution

The fourth proportional to 4,602.76, 6,904.08 and 1,315.84 is: 1,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.76 : 6,904.08 = 1,315.84 : x
  2. Step 2: Convert to fraction form
    4,602.76/6,904.08 = 1,315.84/x
  3. Step 3: Cross multiply
    4,602.76x = 6,904.08 × 1,315.84
  4. Step 4: Simplify right side
    4,602.76x = 9,084,664.63
  5. Step 5: Solve for x
    x = 9,084,664.63/4,602.76
  6. Step 6: Final answer
    x = 1,973.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.