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Finding the Fourth Proportional to 1,782.58, 2,459.93 and 1,036.57

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Solution

The fourth proportional to 1,782.58, 2,459.93 and 1,036.57 is: 1,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.58 : 2,459.93 = 1,036.57 : x
  2. Step 2: Convert to fraction form
    1,782.58/2,459.93 = 1,036.57/x
  3. Step 3: Cross multiply
    1,782.58x = 2,459.93 × 1,036.57
  4. Step 4: Simplify right side
    1,782.58x = 2,549,877.34
  5. Step 5: Solve for x
    x = 2,549,877.34/1,782.58
  6. Step 6: Final answer
    x = 1,430.45

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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.