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Finding the Fourth Proportional to 1,856.84, 2,561.74 and 1,070.60

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Solution

The fourth proportional to 1,856.84, 2,561.74 and 1,070.60 is: 1,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.84 : 2,561.74 = 1,070.60 : x
  2. Step 2: Convert to fraction form
    1,856.84/2,561.74 = 1,070.60/x
  3. Step 3: Cross multiply
    1,856.84x = 2,561.74 × 1,070.60
  4. Step 4: Simplify right side
    1,856.84x = 2,742,583.36
  5. Step 5: Solve for x
    x = 2,742,583.36/1,856.84
  6. Step 6: Final answer
    x = 1,477.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.