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Finding the Fourth Proportional to 2,357.60, 3,534.10 and 1,124.69

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Solution

The fourth proportional to 2,357.60, 3,534.10 and 1,124.69 is: 1,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.60 : 3,534.10 = 1,124.69 : x
  2. Step 2: Convert to fraction form
    2,357.60/3,534.10 = 1,124.69/x
  3. Step 3: Cross multiply
    2,357.60x = 3,534.10 × 1,124.69
  4. Step 4: Simplify right side
    2,357.60x = 3,974,746.45
  5. Step 5: Solve for x
    x = 3,974,746.45/2,357.60
  6. Step 6: Final answer
    x = 1,685.93

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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.