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Finding the Fourth Proportional to 1,858.68, 2,566.08 and 1,440

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Solution

The fourth proportional to 1,858.68, 2,566.08 and 1,440 is: 1,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.68 : 2,566.08 = 1,440 : x
  2. Step 2: Convert to fraction form
    1,858.68/2,566.08 = 1,440/x
  3. Step 3: Cross multiply
    1,858.68x = 2,566.08 × 1,440
  4. Step 4: Simplify right side
    1,858.68x = 3,695,155.20
  5. Step 5: Solve for x
    x = 3,695,155.20/1,858.68
  6. Step 6: Final answer
    x = 1,988.05

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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.